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Finding the Fourth Proportional to 137,704.69, 206,390.95 and 71,108.52

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Solution

The fourth proportional to 137,704.69, 206,390.95 and 71,108.52 is: 106,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,704.69 : 206,390.95 = 71,108.52 : x
  2. Step 2: Convert to fraction form
    137,704.69/206,390.95 = 71,108.52/x
  3. Step 3: Cross multiply
    137,704.69x = 206,390.95 × 71,108.52
  4. Step 4: Simplify right side
    137,704.69x = 14,676,154,995.89
  5. Step 5: Solve for x
    x = 14,676,154,995.89/137,704.69
  6. Step 6: Final answer
    x = 106,577.02

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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.