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Finding the Fourth Proportional to 74,098.70, 102,279.20 and 42,288.78

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Solution

The fourth proportional to 74,098.70, 102,279.20 and 42,288.78 is: 58,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098.70 : 102,279.20 = 42,288.78 : x
  2. Step 2: Convert to fraction form
    74,098.70/102,279.20 = 42,288.78/x
  3. Step 3: Cross multiply
    74,098.70x = 102,279.20 × 42,288.78
  4. Step 4: Simplify right side
    74,098.70x = 4,325,262,375.93
  5. Step 5: Solve for x
    x = 4,325,262,375.93/74,098.70
  6. Step 6: Final answer
    x = 58,371.64

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1.5x scale

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.