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Finding the Fourth Proportional to 138,478.50, 207,737.85 and 43,676.64

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Solution

The fourth proportional to 138,478.50, 207,737.85 and 43,676.64 is: 65,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,478.50 : 207,737.85 = 43,676.64 : x
  2. Step 2: Convert to fraction form
    138,478.50/207,737.85 = 43,676.64/x
  3. Step 3: Cross multiply
    138,478.50x = 207,737.85 × 43,676.64
  4. Step 4: Simplify right side
    138,478.50x = 9,073,291,288.82
  5. Step 5: Solve for x
    x = 9,073,291,288.82/138,478.50
  6. Step 6: Final answer
    x = 65,521.30

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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.