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Finding the Fourth Proportional to 113,481, 170,221.50 and 30,375

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Solution

The fourth proportional to 113,481, 170,221.50 and 30,375 is: 45,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,481 : 170,221.50 = 30,375 : x
  2. Step 2: Convert to fraction form
    113,481/170,221.50 = 30,375/x
  3. Step 3: Cross multiply
    113,481x = 170,221.50 × 30,375
  4. Step 4: Simplify right side
    113,481x = 5,170,478,062.50
  5. Step 5: Solve for x
    x = 5,170,478,062.50/113,481
  6. Step 6: Final answer
    x = 45,562.50

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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.