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Finding the Fourth Proportional to 74,714.71, 103,105.65 and 40,723.20

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Solution

The fourth proportional to 74,714.71, 103,105.65 and 40,723.20 is: 56,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,714.71 : 103,105.65 = 40,723.20 : x
  2. Step 2: Convert to fraction form
    74,714.71/103,105.65 = 40,723.20/x
  3. Step 3: Cross multiply
    74,714.71x = 103,105.65 × 40,723.20
  4. Step 4: Simplify right side
    74,714.71x = 4,198,791,853.37
  5. Step 5: Solve for x
    x = 4,198,791,853.37/74,714.71
  6. Step 6: Final answer
    x = 56,197.66

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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.