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Finding the Fourth Proportional to 177,376.80, 266,065.20 and 142,384.80

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Solution

The fourth proportional to 177,376.80, 266,065.20 and 142,384.80 is: 213,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,376.80 : 266,065.20 = 142,384.80 : x
  2. Step 2: Convert to fraction form
    177,376.80/266,065.20 = 142,384.80/x
  3. Step 3: Cross multiply
    177,376.80x = 266,065.20 × 142,384.80
  4. Step 4: Simplify right side
    177,376.80x = 37,883,640,288.96
  5. Step 5: Solve for x
    x = 37,883,640,288.96/177,376.80
  6. Step 6: Final answer
    x = 213,577.20

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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.