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Finding the Fourth Proportional to 75,731.16, 113,596.71 and 20,327.16

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Solution

The fourth proportional to 75,731.16, 113,596.71 and 20,327.16 is: 30,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,731.16 : 113,596.71 = 20,327.16 : x
  2. Step 2: Convert to fraction form
    75,731.16/113,596.71 = 20,327.16/x
  3. Step 3: Cross multiply
    75,731.16x = 113,596.71 × 20,327.16
  4. Step 4: Simplify right side
    75,731.16x = 2,309,098,499.64
  5. Step 5: Solve for x
    x = 2,309,098,499.64/75,731.16
  6. Step 6: Final answer
    x = 30,490.73

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1.5x scale

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.