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Finding the Fourth Proportional to 72,129.25, 108,180.51 and 19,531.90

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Solution

The fourth proportional to 72,129.25, 108,180.51 and 19,531.90 is: 29,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,129.25 : 108,180.51 = 19,531.90 : x
  2. Step 2: Convert to fraction form
    72,129.25/108,180.51 = 19,531.90/x
  3. Step 3: Cross multiply
    72,129.25x = 108,180.51 × 19,531.90
  4. Step 4: Simplify right side
    72,129.25x = 2,112,970,903.27
  5. Step 5: Solve for x
    x = 2,112,970,903.27/72,129.25
  6. Step 6: Final answer
    x = 29,294.23

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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.