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Finding the Fourth Proportional to 100,446.70, 138,617.93 and 55,123.90

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Solution

The fourth proportional to 100,446.70, 138,617.93 and 55,123.90 is: 76,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,446.70 : 138,617.93 = 55,123.90 : x
  2. Step 2: Convert to fraction form
    100,446.70/138,617.93 = 55,123.90/x
  3. Step 3: Cross multiply
    100,446.70x = 138,617.93 × 55,123.90
  4. Step 4: Simplify right side
    100,446.70x = 7,641,160,911.53
  5. Step 5: Solve for x
    x = 7,641,160,911.53/100,446.70
  6. Step 6: Final answer
    x = 76,071.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.