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Finding the Fourth Proportional to 71,685.42, 107,550 and 36,649.68

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Solution

The fourth proportional to 71,685.42, 107,550 and 36,649.68 is: 54,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,685.42 : 107,550 = 36,649.68 : x
  2. Step 2: Convert to fraction form
    71,685.42/107,550 = 36,649.68/x
  3. Step 3: Cross multiply
    71,685.42x = 107,550 × 36,649.68
  4. Step 4: Simplify right side
    71,685.42x = 3,941,673,084
  5. Step 5: Solve for x
    x = 3,941,673,084/71,685.42
  6. Step 6: Final answer
    x = 54,985.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.