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Finding the Fourth Proportional to 45,163.67, 67,731.14 and 42,215.31

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Solution

The fourth proportional to 45,163.67, 67,731.14 and 42,215.31 is: 63,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,163.67 : 67,731.14 = 42,215.31 : x
  2. Step 2: Convert to fraction form
    45,163.67/67,731.14 = 42,215.31/x
  3. Step 3: Cross multiply
    45,163.67x = 67,731.14 × 42,215.31
  4. Step 4: Simplify right side
    45,163.67x = 2,859,291,177.29
  5. Step 5: Solve for x
    x = 2,859,291,177.29/45,163.67
  6. Step 6: Final answer
    x = 63,309.55

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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.