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Finding the Fourth Proportional to 138,178.72, 207,268.08 and 38,338.93

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Solution

The fourth proportional to 138,178.72, 207,268.08 and 38,338.93 is: 57,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,178.72 : 207,268.08 = 38,338.93 : x
  2. Step 2: Convert to fraction form
    138,178.72/207,268.08 = 38,338.93/x
  3. Step 3: Cross multiply
    138,178.72x = 207,268.08 × 38,338.93
  4. Step 4: Simplify right side
    138,178.72x = 7,946,436,410.35
  5. Step 5: Solve for x
    x = 7,946,436,410.35/138,178.72
  6. Step 6: Final answer
    x = 57,508.40

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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.