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Finding the Fourth Proportional to 270,654.92, 406,021.28 and 83,681

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Solution

The fourth proportional to 270,654.92, 406,021.28 and 83,681 is: 125,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,654.92 : 406,021.28 = 83,681 : x
  2. Step 2: Convert to fraction form
    270,654.92/406,021.28 = 83,681/x
  3. Step 3: Cross multiply
    270,654.92x = 406,021.28 × 83,681
  4. Step 4: Simplify right side
    270,654.92x = 33,976,266,731.68
  5. Step 5: Solve for x
    x = 33,976,266,731.68/270,654.92
  6. Step 6: Final answer
    x = 125,533.53

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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.