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Finding the Fourth Proportional to 137,707.56, 206,123.76 and 74,437.56

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Solution

The fourth proportional to 137,707.56, 206,123.76 and 74,437.56 is: 111,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,707.56 : 206,123.76 = 74,437.56 : x
  2. Step 2: Convert to fraction form
    137,707.56/206,123.76 = 74,437.56/x
  3. Step 3: Cross multiply
    137,707.56x = 206,123.76 × 74,437.56
  4. Step 4: Simplify right side
    137,707.56x = 15,343,349,752.43
  5. Step 5: Solve for x
    x = 15,343,349,752.43/137,707.56
  6. Step 6: Final answer
    x = 111,419.81

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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.