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Finding the Fourth Proportional to 137,717.80, 206,564.55 and 37,869.10

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Solution

The fourth proportional to 137,717.80, 206,564.55 and 37,869.10 is: 56,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,717.80 : 206,564.55 = 37,869.10 : x
  2. Step 2: Convert to fraction form
    137,717.80/206,564.55 = 37,869.10/x
  3. Step 3: Cross multiply
    137,717.80x = 206,564.55 × 37,869.10
  4. Step 4: Simplify right side
    137,717.80x = 7,822,413,600.41
  5. Step 5: Solve for x
    x = 7,822,413,600.41/137,717.80
  6. Step 6: Final answer
    x = 56,800.31

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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.