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Finding the Fourth Proportional to 75,832.60, 113,821.80 and 38,434.90

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Solution

The fourth proportional to 75,832.60, 113,821.80 and 38,434.90 is: 57,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,832.60 : 113,821.80 = 38,434.90 : x
  2. Step 2: Convert to fraction form
    75,832.60/113,821.80 = 38,434.90/x
  3. Step 3: Cross multiply
    75,832.60x = 113,821.80 × 38,434.90
  4. Step 4: Simplify right side
    75,832.60x = 4,374,729,500.82
  5. Step 5: Solve for x
    x = 4,374,729,500.82/75,832.60
  6. Step 6: Final answer
    x = 57,689.30

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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.