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Finding the Fourth Proportional to 129,026, 193,400.76 and 54,127.28

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Solution

The fourth proportional to 129,026, 193,400.76 and 54,127.28 is: 81,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,026 : 193,400.76 = 54,127.28 : x
  2. Step 2: Convert to fraction form
    129,026/193,400.76 = 54,127.28/x
  3. Step 3: Cross multiply
    129,026x = 193,400.76 × 54,127.28
  4. Step 4: Simplify right side
    129,026x = 10,468,257,088.73
  5. Step 5: Solve for x
    x = 10,468,257,088.73/129,026
  6. Step 6: Final answer
    x = 81,132.93

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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.