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Finding the Fourth Proportional to 74,414.40, 102,693.72 and 40,422.87

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Solution

The fourth proportional to 74,414.40, 102,693.72 and 40,422.87 is: 55,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414.40 : 102,693.72 = 40,422.87 : x
  2. Step 2: Convert to fraction form
    74,414.40/102,693.72 = 40,422.87/x
  3. Step 3: Cross multiply
    74,414.40x = 102,693.72 × 40,422.87
  4. Step 4: Simplify right side
    74,414.40x = 4,151,175,278.48
  5. Step 5: Solve for x
    x = 4,151,175,278.48/74,414.40
  6. Step 6: Final answer
    x = 55,784.57

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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.