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Finding the Fourth Proportional to 72,789.48, 100,454.31 and 40,960.53

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Solution

The fourth proportional to 72,789.48, 100,454.31 and 40,960.53 is: 56,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,789.48 : 100,454.31 = 40,960.53 : x
  2. Step 2: Convert to fraction form
    72,789.48/100,454.31 = 40,960.53/x
  3. Step 3: Cross multiply
    72,789.48x = 100,454.31 × 40,960.53
  4. Step 4: Simplify right side
    72,789.48x = 4,114,661,778.38
  5. Step 5: Solve for x
    x = 4,114,661,778.38/72,789.48
  6. Step 6: Final answer
    x = 56,528.25

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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.