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Finding the Fourth Proportional to 138,807.76, 208,294.59 and 127,514.64

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Solution

The fourth proportional to 138,807.76, 208,294.59 and 127,514.64 is: 191,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,807.76 : 208,294.59 = 127,514.64 : x
  2. Step 2: Convert to fraction form
    138,807.76/208,294.59 = 127,514.64/x
  3. Step 3: Cross multiply
    138,807.76x = 208,294.59 × 127,514.64
  4. Step 4: Simplify right side
    138,807.76x = 26,560,607,978.75
  5. Step 5: Solve for x
    x = 26,560,607,978.75/138,807.76
  6. Step 6: Final answer
    x = 191,348.16

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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.