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Finding the Fourth Proportional to 137,851.57, 206,630.34 and 78,559.57

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Solution

The fourth proportional to 137,851.57, 206,630.34 and 78,559.57 is: 117,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.57 : 206,630.34 = 78,559.57 : x
  2. Step 2: Convert to fraction form
    137,851.57/206,630.34 = 78,559.57/x
  3. Step 3: Cross multiply
    137,851.57x = 206,630.34 × 78,559.57
  4. Step 4: Simplify right side
    137,851.57x = 16,232,791,064.94
  5. Step 5: Solve for x
    x = 16,232,791,064.94/137,851.57
  6. Step 6: Final answer
    x = 117,755.58

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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.