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Finding the Fourth Proportional to 137,776.50, 206,472.30 and 74,460.14

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Solution

The fourth proportional to 137,776.50, 206,472.30 and 74,460.14 is: 111,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,776.50 : 206,472.30 = 74,460.14 : x
  2. Step 2: Convert to fraction form
    137,776.50/206,472.30 = 74,460.14/x
  3. Step 3: Cross multiply
    137,776.50x = 206,472.30 × 74,460.14
  4. Step 4: Simplify right side
    137,776.50x = 15,373,956,364.12
  5. Step 5: Solve for x
    x = 15,373,956,364.12/137,776.50
  6. Step 6: Final answer
    x = 111,586.20

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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.