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Finding the Fourth Proportional to 119,169.52, 164,455.98 and 65,456.80

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Solution

The fourth proportional to 119,169.52, 164,455.98 and 65,456.80 is: 90,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,169.52 : 164,455.98 = 65,456.80 : x
  2. Step 2: Convert to fraction form
    119,169.52/164,455.98 = 65,456.80/x
  3. Step 3: Cross multiply
    119,169.52x = 164,455.98 × 65,456.80
  4. Step 4: Simplify right side
    119,169.52x = 10,764,762,191.66
  5. Step 5: Solve for x
    x = 10,764,762,191.66/119,169.52
  6. Step 6: Final answer
    x = 90,331.51

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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.