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Finding the Fourth Proportional to 74,916.75, 103,385.12 and 41,382.75

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Solution

The fourth proportional to 74,916.75, 103,385.12 and 41,382.75 is: 57,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,916.75 : 103,385.12 = 41,382.75 : x
  2. Step 2: Convert to fraction form
    74,916.75/103,385.12 = 41,382.75/x
  3. Step 3: Cross multiply
    74,916.75x = 103,385.12 × 41,382.75
  4. Step 4: Simplify right side
    74,916.75x = 4,278,360,367.77
  5. Step 5: Solve for x
    x = 4,278,360,367.77/74,916.75
  6. Step 6: Final answer
    x = 57,108.20

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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.