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Finding the Fourth Proportional to 137,390.64, 206,115.12 and 47,441.76

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Solution

The fourth proportional to 137,390.64, 206,115.12 and 47,441.76 is: 71,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,390.64 : 206,115.12 = 47,441.76 : x
  2. Step 2: Convert to fraction form
    137,390.64/206,115.12 = 47,441.76/x
  3. Step 3: Cross multiply
    137,390.64x = 206,115.12 × 47,441.76
  4. Step 4: Simplify right side
    137,390.64x = 9,778,464,055.41
  5. Step 5: Solve for x
    x = 9,778,464,055.41/137,390.64
  6. Step 6: Final answer
    x = 71,172.71

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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.