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Finding the Fourth Proportional to 96,139.74, 144,008.46 and 77,318.04

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Solution

The fourth proportional to 96,139.74, 144,008.46 and 77,318.04 is: 115,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,139.74 : 144,008.46 = 77,318.04 : x
  2. Step 2: Convert to fraction form
    96,139.74/144,008.46 = 77,318.04/x
  3. Step 3: Cross multiply
    96,139.74x = 144,008.46 × 77,318.04
  4. Step 4: Simplify right side
    96,139.74x = 11,134,451,870.62
  5. Step 5: Solve for x
    x = 11,134,451,870.62/96,139.74
  6. Step 6: Final answer
    x = 115,815.29

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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.