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Finding the Fourth Proportional to 119,909.16, 165,472.61 and 66,192.80

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Solution

The fourth proportional to 119,909.16, 165,472.61 and 66,192.80 is: 91,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,909.16 : 165,472.61 = 66,192.80 : x
  2. Step 2: Convert to fraction form
    119,909.16/165,472.61 = 66,192.80/x
  3. Step 3: Cross multiply
    119,909.16x = 165,472.61 × 66,192.80
  4. Step 4: Simplify right side
    119,909.16x = 10,953,094,220.88
  5. Step 5: Solve for x
    x = 10,953,094,220.88/119,909.16
  6. Step 6: Final answer
    x = 91,344.93

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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.