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Finding the Fourth Proportional to 152,755, 229,057.50 and 62,781.40

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Solution

The fourth proportional to 152,755, 229,057.50 and 62,781.40 is: 94,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,755 : 229,057.50 = 62,781.40 : x
  2. Step 2: Convert to fraction form
    152,755/229,057.50 = 62,781.40/x
  3. Step 3: Cross multiply
    152,755x = 229,057.50 × 62,781.40
  4. Step 4: Simplify right side
    152,755x = 14,380,550,530.50
  5. Step 5: Solve for x
    x = 14,380,550,530.50/152,755
  6. Step 6: Final answer
    x = 94,141.28

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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.