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Finding the Fourth Proportional to 138,052.72, 207,157.74 and 53,801.92

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Solution

The fourth proportional to 138,052.72, 207,157.74 and 53,801.92 is: 80,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,052.72 : 207,157.74 = 53,801.92 : x
  2. Step 2: Convert to fraction form
    138,052.72/207,157.74 = 53,801.92/x
  3. Step 3: Cross multiply
    138,052.72x = 207,157.74 × 53,801.92
  4. Step 4: Simplify right side
    138,052.72x = 11,145,484,154.86
  5. Step 5: Solve for x
    x = 11,145,484,154.86/138,052.72
  6. Step 6: Final answer
    x = 80,733.54

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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.