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Finding the Fourth Proportional to 270,710.92, 406,105.26 and 83,737

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Solution

The fourth proportional to 270,710.92, 406,105.26 and 83,737 is: 125,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,710.92 : 406,105.26 = 83,737 : x
  2. Step 2: Convert to fraction form
    270,710.92/406,105.26 = 83,737/x
  3. Step 3: Cross multiply
    270,710.92x = 406,105.26 × 83,737
  4. Step 4: Simplify right side
    270,710.92x = 34,006,036,156.62
  5. Step 5: Solve for x
    x = 34,006,036,156.62/270,710.92
  6. Step 6: Final answer
    x = 125,617.53

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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.