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Finding the Fourth Proportional to 137,870.70, 206,806.86 and 49,127.64

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Solution

The fourth proportional to 137,870.70, 206,806.86 and 49,127.64 is: 73,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,870.70 : 206,806.86 = 49,127.64 : x
  2. Step 2: Convert to fraction form
    137,870.70/206,806.86 = 49,127.64/x
  3. Step 3: Cross multiply
    137,870.70x = 206,806.86 × 49,127.64
  4. Step 4: Simplify right side
    137,870.70x = 10,159,932,967.61
  5. Step 5: Solve for x
    x = 10,159,932,967.61/137,870.70
  6. Step 6: Final answer
    x = 73,691.75

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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.