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Finding the Fourth Proportional to 100,032.10, 149,720.10 and 77,724.70

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Solution

The fourth proportional to 100,032.10, 149,720.10 and 77,724.70 is: 116,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032.10 : 149,720.10 = 77,724.70 : x
  2. Step 2: Convert to fraction form
    100,032.10/149,720.10 = 77,724.70/x
  3. Step 3: Cross multiply
    100,032.10x = 149,720.10 × 77,724.70
  4. Step 4: Simplify right side
    100,032.10x = 11,636,949,856.47
  5. Step 5: Solve for x
    x = 11,636,949,856.47/100,032.10
  6. Step 6: Final answer
    x = 116,332.16

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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.