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Finding the Fourth Proportional to 72,012.80, 107,946.29 and 34,517.90

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Solution

The fourth proportional to 72,012.80, 107,946.29 and 34,517.90 is: 51,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,012.80 : 107,946.29 = 34,517.90 : x
  2. Step 2: Convert to fraction form
    72,012.80/107,946.29 = 34,517.90/x
  3. Step 3: Cross multiply
    72,012.80x = 107,946.29 × 34,517.90
  4. Step 4: Simplify right side
    72,012.80x = 3,726,078,531.27
  5. Step 5: Solve for x
    x = 3,726,078,531.27/72,012.80
  6. Step 6: Final answer
    x = 51,741.90

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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.