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Finding the Fourth Proportional to 137,620.64, 206,429.88 and 37,780.46

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Solution

The fourth proportional to 137,620.64, 206,429.88 and 37,780.46 is: 56,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,620.64 : 206,429.88 = 37,780.46 : x
  2. Step 2: Convert to fraction form
    137,620.64/206,429.88 = 37,780.46/x
  3. Step 3: Cross multiply
    137,620.64x = 206,429.88 × 37,780.46
  4. Step 4: Simplify right side
    137,620.64x = 7,799,015,824.14
  5. Step 5: Solve for x
    x = 7,799,015,824.14/137,620.64
  6. Step 6: Final answer
    x = 56,670.39

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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.