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Finding the Fourth Proportional to 72,129.48, 108,193.60 and 19,538.61

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Solution

The fourth proportional to 72,129.48, 108,193.60 and 19,538.61 is: 29,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,129.48 : 108,193.60 = 19,538.61 : x
  2. Step 2: Convert to fraction form
    72,129.48/108,193.60 = 19,538.61/x
  3. Step 3: Cross multiply
    72,129.48x = 108,193.60 × 19,538.61
  4. Step 4: Simplify right side
    72,129.48x = 2,113,952,554.90
  5. Step 5: Solve for x
    x = 2,113,952,554.90/72,129.48
  6. Step 6: Final answer
    x = 29,307.75

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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.