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Finding the Fourth Proportional to 138,067.78, 207,102.17 and 42,005.93

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Solution

The fourth proportional to 138,067.78, 207,102.17 and 42,005.93 is: 63,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,067.78 : 207,102.17 = 42,005.93 : x
  2. Step 2: Convert to fraction form
    138,067.78/207,102.17 = 42,005.93/x
  3. Step 3: Cross multiply
    138,067.78x = 207,102.17 × 42,005.93
  4. Step 4: Simplify right side
    138,067.78x = 8,699,518,220.36
  5. Step 5: Solve for x
    x = 8,699,518,220.36/138,067.78
  6. Step 6: Final answer
    x = 63,009.04

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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.