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Finding the Fourth Proportional to 133,695.30, 200,542.95 and 86,456.10

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Solution

The fourth proportional to 133,695.30, 200,542.95 and 86,456.10 is: 129,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.30 : 200,542.95 = 86,456.10 : x
  2. Step 2: Convert to fraction form
    133,695.30/200,542.95 = 86,456.10/x
  3. Step 3: Cross multiply
    133,695.30x = 200,542.95 × 86,456.10
  4. Step 4: Simplify right side
    133,695.30x = 17,338,161,339.50
  5. Step 5: Solve for x
    x = 17,338,161,339.50/133,695.30
  6. Step 6: Final answer
    x = 129,684.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.