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Finding the Fourth Proportional to 52,854.48, 72,948.48 and 40,149.72

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Solution

The fourth proportional to 52,854.48, 72,948.48 and 40,149.72 is: 55,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854.48 : 72,948.48 = 40,149.72 : x
  2. Step 2: Convert to fraction form
    52,854.48/72,948.48 = 40,149.72/x
  3. Step 3: Cross multiply
    52,854.48x = 72,948.48 × 40,149.72
  4. Step 4: Simplify right side
    52,854.48x = 2,928,861,046.43
  5. Step 5: Solve for x
    x = 2,928,861,046.43/52,854.48
  6. Step 6: Final answer
    x = 55,413.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.