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Finding the Fourth Proportional to 72,041.92, 108,062.56 and 19,456.80

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Solution

The fourth proportional to 72,041.92, 108,062.56 and 19,456.80 is: 29,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,041.92 : 108,062.56 = 19,456.80 : x
  2. Step 2: Convert to fraction form
    72,041.92/108,062.56 = 19,456.80/x
  3. Step 3: Cross multiply
    72,041.92x = 108,062.56 × 19,456.80
  4. Step 4: Simplify right side
    72,041.92x = 2,102,551,617.41
  5. Step 5: Solve for x
    x = 2,102,551,617.41/72,041.92
  6. Step 6: Final answer
    x = 29,185.11

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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.