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Finding the Fourth Proportional to 87,057.68, 130,411.55 and 45,417.20

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Solution

The fourth proportional to 87,057.68, 130,411.55 and 45,417.20 is: 68,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,057.68 : 130,411.55 = 45,417.20 : x
  2. Step 2: Convert to fraction form
    87,057.68/130,411.55 = 45,417.20/x
  3. Step 3: Cross multiply
    87,057.68x = 130,411.55 × 45,417.20
  4. Step 4: Simplify right side
    87,057.68x = 5,922,926,569.52
  5. Step 5: Solve for x
    x = 5,922,926,569.52/87,057.68
  6. Step 6: Final answer
    x = 68,034.51

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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.