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Finding the Fourth Proportional to 119,651.59, 165,120.30 and 65,938.53

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Solution

The fourth proportional to 119,651.59, 165,120.30 and 65,938.53 is: 90,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,651.59 : 165,120.30 = 65,938.53 : x
  2. Step 2: Convert to fraction form
    119,651.59/165,120.30 = 65,938.53/x
  3. Step 3: Cross multiply
    119,651.59x = 165,120.30 × 65,938.53
  4. Step 4: Simplify right side
    119,651.59x = 10,887,789,855.16
  5. Step 5: Solve for x
    x = 10,887,789,855.16/119,651.59
  6. Step 6: Final answer
    x = 90,995.78

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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.