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Finding the Fourth Proportional to 138,134.76, 207,171.30 and 53,897.16

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Solution

The fourth proportional to 138,134.76, 207,171.30 and 53,897.16 is: 80,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,134.76 : 207,171.30 = 53,897.16 : x
  2. Step 2: Convert to fraction form
    138,134.76/207,171.30 = 53,897.16/x
  3. Step 3: Cross multiply
    138,134.76x = 207,171.30 × 53,897.16
  4. Step 4: Simplify right side
    138,134.76x = 11,165,944,703.51
  5. Step 5: Solve for x
    x = 11,165,944,703.51/138,134.76
  6. Step 6: Final answer
    x = 80,833.71

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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.