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Finding the Fourth Proportional to 75,909.30, 113,868.11 and 31,540.53

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Solution

The fourth proportional to 75,909.30, 113,868.11 and 31,540.53 is: 47,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.30 : 113,868.11 = 31,540.53 : x
  2. Step 2: Convert to fraction form
    75,909.30/113,868.11 = 31,540.53/x
  3. Step 3: Cross multiply
    75,909.30x = 113,868.11 × 31,540.53
  4. Step 4: Simplify right side
    75,909.30x = 3,591,460,539.50
  5. Step 5: Solve for x
    x = 3,591,460,539.50/75,909.30
  6. Step 6: Final answer
    x = 47,312.52

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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.