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Finding the Fourth Proportional to 100,428.30, 138,589.84 and 57,985.92

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Solution

The fourth proportional to 100,428.30, 138,589.84 and 57,985.92 is: 80,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428.30 : 138,589.84 = 57,985.92 : x
  2. Step 2: Convert to fraction form
    100,428.30/138,589.84 = 57,985.92/x
  3. Step 3: Cross multiply
    100,428.30x = 138,589.84 × 57,985.92
  4. Step 4: Simplify right side
    100,428.30x = 8,036,259,375.05
  5. Step 5: Solve for x
    x = 8,036,259,375.05/100,428.30
  6. Step 6: Final answer
    x = 80,019.87

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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.