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Finding the Fourth Proportional to 119,920.32, 165,512.88 and 71,534.16

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Solution

The fourth proportional to 119,920.32, 165,512.88 and 71,534.16 is: 98,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,920.32 : 165,512.88 = 71,534.16 : x
  2. Step 2: Convert to fraction form
    119,920.32/165,512.88 = 71,534.16/x
  3. Step 3: Cross multiply
    119,920.32x = 165,512.88 × 71,534.16
  4. Step 4: Simplify right side
    119,920.32x = 11,839,824,839.98
  5. Step 5: Solve for x
    x = 11,839,824,839.98/119,920.32
  6. Step 6: Final answer
    x = 98,730.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.