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Finding the Fourth Proportional to 119,680.56, 165,158.28 and 65,965.68

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Solution

The fourth proportional to 119,680.56, 165,158.28 and 65,965.68 is: 91,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,680.56 : 165,158.28 = 65,965.68 : x
  2. Step 2: Convert to fraction form
    119,680.56/165,158.28 = 65,965.68/x
  3. Step 3: Cross multiply
    119,680.56x = 165,158.28 × 65,965.68
  4. Step 4: Simplify right side
    119,680.56x = 10,894,778,247.83
  5. Step 5: Solve for x
    x = 10,894,778,247.83/119,680.56
  6. Step 6: Final answer
    x = 91,032.15

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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.