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Finding the Fourth Proportional to 75,323.57, 103,948.25 and 45,140.54

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Solution

The fourth proportional to 75,323.57, 103,948.25 and 45,140.54 is: 62,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,323.57 : 103,948.25 = 45,140.54 : x
  2. Step 2: Convert to fraction form
    75,323.57/103,948.25 = 45,140.54/x
  3. Step 3: Cross multiply
    75,323.57x = 103,948.25 × 45,140.54
  4. Step 4: Simplify right side
    75,323.57x = 4,692,279,391.61
  5. Step 5: Solve for x
    x = 4,692,279,391.61/75,323.57
  6. Step 6: Final answer
    x = 62,294.97

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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.