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Finding the Fourth Proportional to 138,126.76, 207,159.42 and 53,889.16

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Solution

The fourth proportional to 138,126.76, 207,159.42 and 53,889.16 is: 80,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,126.76 : 207,159.42 = 53,889.16 : x
  2. Step 2: Convert to fraction form
    138,126.76/207,159.42 = 53,889.16/x
  3. Step 3: Cross multiply
    138,126.76x = 207,159.42 × 53,889.16
  4. Step 4: Simplify right side
    138,126.76x = 11,163,647,129.89
  5. Step 5: Solve for x
    x = 11,163,647,129.89/138,126.76
  6. Step 6: Final answer
    x = 80,821.75

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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.