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Finding the Fourth Proportional to 138,269.92, 207,358.76 and 54,008.24

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Solution

The fourth proportional to 138,269.92, 207,358.76 and 54,008.24 is: 80,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,269.92 : 207,358.76 = 54,008.24 : x
  2. Step 2: Convert to fraction form
    138,269.92/207,358.76 = 54,008.24/x
  3. Step 3: Cross multiply
    138,269.92x = 207,358.76 × 54,008.24
  4. Step 4: Simplify right side
    138,269.92x = 11,199,081,676.18
  5. Step 5: Solve for x
    x = 11,199,081,676.18/138,269.92
  6. Step 6: Final answer
    x = 80,994.35

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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.