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Finding the Fourth Proportional to 75,531.76, 113,223.75 and 31,195.87

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Solution

The fourth proportional to 75,531.76, 113,223.75 and 31,195.87 is: 46,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,531.76 : 113,223.75 = 31,195.87 : x
  2. Step 2: Convert to fraction form
    75,531.76/113,223.75 = 31,195.87/x
  3. Step 3: Cross multiply
    75,531.76x = 113,223.75 × 31,195.87
  4. Step 4: Simplify right side
    75,531.76x = 3,532,113,385.91
  5. Step 5: Solve for x
    x = 3,532,113,385.91/75,531.76
  6. Step 6: Final answer
    x = 46,763.29

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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.