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Finding the Fourth Proportional to 137,437.35, 206,026.71 and 74,162.64

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Solution

The fourth proportional to 137,437.35, 206,026.71 and 74,162.64 is: 111,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,437.35 : 206,026.71 = 74,162.64 : x
  2. Step 2: Convert to fraction form
    137,437.35/206,026.71 = 74,162.64/x
  3. Step 3: Cross multiply
    137,437.35x = 206,026.71 × 74,162.64
  4. Step 4: Simplify right side
    137,437.35x = 15,279,484,724.11
  5. Step 5: Solve for x
    x = 15,279,484,724.11/137,437.35
  6. Step 6: Final answer
    x = 111,174.18

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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.