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Finding the Fourth Proportional to 137,689.47, 206,096.81 and 74,419.56

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Solution

The fourth proportional to 137,689.47, 206,096.81 and 74,419.56 is: 111,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,689.47 : 206,096.81 = 74,419.56 : x
  2. Step 2: Convert to fraction form
    137,689.47/206,096.81 = 74,419.56/x
  3. Step 3: Cross multiply
    137,689.47x = 206,096.81 × 74,419.56
  4. Step 4: Simplify right side
    137,689.47x = 15,337,633,545.51
  5. Step 5: Solve for x
    x = 15,337,633,545.51/137,689.47
  6. Step 6: Final answer
    x = 111,392.93

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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.