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Finding the Fourth Proportional to 137,619.20, 206,429.11 and 37,780.76

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Solution

The fourth proportional to 137,619.20, 206,429.11 and 37,780.76 is: 56,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,619.20 : 206,429.11 = 37,780.76 : x
  2. Step 2: Convert to fraction form
    137,619.20/206,429.11 = 37,780.76/x
  3. Step 3: Cross multiply
    137,619.20x = 206,429.11 × 37,780.76
  4. Step 4: Simplify right side
    137,619.20x = 7,799,047,535.33
  5. Step 5: Solve for x
    x = 7,799,047,535.33/137,619.20
  6. Step 6: Final answer
    x = 56,671.22

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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.