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Finding the Fourth Proportional to 119,231,999.80, 178,847,999.70 and 100,100,123.80

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Solution

The fourth proportional to 119,231,999.80, 178,847,999.70 and 100,100,123.80 is: 150,150,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,231,999.80 : 178,847,999.70 = 100,100,123.80 : x
  2. Step 2: Convert to fraction form
    119,231,999.80/178,847,999.70 = 100,100,123.80/x
  3. Step 3: Cross multiply
    119,231,999.80x = 178,847,999.70 × 100,100,123.80
  4. Step 4: Simplify right side
    119,231,999.80x = 17,902,706,911,352,362
  5. Step 5: Solve for x
    x = 17,902,706,911,352,362/119,231,999.80
  6. Step 6: Final answer
    x = 150,150,185.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.