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Finding the Fourth Proportional to 138,652.76, 207,979.14 and 45,158.51

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Solution

The fourth proportional to 138,652.76, 207,979.14 and 45,158.51 is: 67,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,652.76 : 207,979.14 = 45,158.51 : x
  2. Step 2: Convert to fraction form
    138,652.76/207,979.14 = 45,158.51/x
  3. Step 3: Cross multiply
    138,652.76x = 207,979.14 × 45,158.51
  4. Step 4: Simplify right side
    138,652.76x = 9,392,028,073.48
  5. Step 5: Solve for x
    x = 9,392,028,073.48/138,652.76
  6. Step 6: Final answer
    x = 67,737.77

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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.