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Finding the Fourth Proportional to 138,864.60, 208,005.30 and 76,462.20

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Solution

The fourth proportional to 138,864.60, 208,005.30 and 76,462.20 is: 114,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,864.60 : 208,005.30 = 76,462.20 : x
  2. Step 2: Convert to fraction form
    138,864.60/208,005.30 = 76,462.20/x
  3. Step 3: Cross multiply
    138,864.60x = 208,005.30 × 76,462.20
  4. Step 4: Simplify right side
    138,864.60x = 15,904,542,849.66
  5. Step 5: Solve for x
    x = 15,904,542,849.66/138,864.60
  6. Step 6: Final answer
    x = 114,532.74

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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.