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Finding the Fourth Proportional to 137,940.32, 206,894.90 and 38,114.76

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Solution

The fourth proportional to 137,940.32, 206,894.90 and 38,114.76 is: 57,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,940.32 : 206,894.90 = 38,114.76 : x
  2. Step 2: Convert to fraction form
    137,940.32/206,894.90 = 38,114.76/x
  3. Step 3: Cross multiply
    137,940.32x = 206,894.90 × 38,114.76
  4. Step 4: Simplify right side
    137,940.32x = 7,885,749,458.72
  5. Step 5: Solve for x
    x = 7,885,749,458.72/137,940.32
  6. Step 6: Final answer
    x = 57,167.84

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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.