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Finding the Fourth Proportional to 288,502.50, 432,700.29 and 78,113.10

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Solution

The fourth proportional to 288,502.50, 432,700.29 and 78,113.10 is: 117,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,502.50 : 432,700.29 = 78,113.10 : x
  2. Step 2: Convert to fraction form
    288,502.50/432,700.29 = 78,113.10/x
  3. Step 3: Cross multiply
    288,502.50x = 432,700.29 × 78,113.10
  4. Step 4: Simplify right side
    288,502.50x = 33,799,561,022.80
  5. Step 5: Solve for x
    x = 33,799,561,022.80/288,502.50
  6. Step 6: Final answer
    x = 117,155.18

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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.