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Finding the Fourth Proportional to 75,478.70, 113,268.96 and 31,104.47

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Solution

The fourth proportional to 75,478.70, 113,268.96 and 31,104.47 is: 46,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.70 : 113,268.96 = 31,104.47 : x
  2. Step 2: Convert to fraction form
    75,478.70/113,268.96 = 31,104.47/x
  3. Step 3: Cross multiply
    75,478.70x = 113,268.96 × 31,104.47
  4. Step 4: Simplify right side
    75,478.70x = 3,523,170,685.08
  5. Step 5: Solve for x
    x = 3,523,170,685.08/75,478.70
  6. Step 6: Final answer
    x = 46,677.68

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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.