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Finding the Fourth Proportional to 72,948.60, 109,403.46 and 20,348.82

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Solution

The fourth proportional to 72,948.60, 109,403.46 and 20,348.82 is: 30,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948.60 : 109,403.46 = 20,348.82 : x
  2. Step 2: Convert to fraction form
    72,948.60/109,403.46 = 20,348.82/x
  3. Step 3: Cross multiply
    72,948.60x = 109,403.46 × 20,348.82
  4. Step 4: Simplify right side
    72,948.60x = 2,226,231,314.92
  5. Step 5: Solve for x
    x = 2,226,231,314.92/72,948.60
  6. Step 6: Final answer
    x = 30,517.81

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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.