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Finding the Fourth Proportional to 137,776.84, 206,472.78 and 74,460.46

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Solution

The fourth proportional to 137,776.84, 206,472.78 and 74,460.46 is: 111,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,776.84 : 206,472.78 = 74,460.46 : x
  2. Step 2: Convert to fraction form
    137,776.84/206,472.78 = 74,460.46/x
  3. Step 3: Cross multiply
    137,776.84x = 206,472.78 × 74,460.46
  4. Step 4: Simplify right side
    137,776.84x = 15,374,057,660.10
  5. Step 5: Solve for x
    x = 15,374,057,660.10/137,776.84
  6. Step 6: Final answer
    x = 111,586.66

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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.