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Finding the Fourth Proportional to 45,221.31, 67,842.22 and 15,639.40

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Solution

The fourth proportional to 45,221.31, 67,842.22 and 15,639.40 is: 23,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,221.31 : 67,842.22 = 15,639.40 : x
  2. Step 2: Convert to fraction form
    45,221.31/67,842.22 = 15,639.40/x
  3. Step 3: Cross multiply
    45,221.31x = 67,842.22 × 15,639.40
  4. Step 4: Simplify right side
    45,221.31x = 1,061,011,903.30
  5. Step 5: Solve for x
    x = 1,061,011,903.30/45,221.31
  6. Step 6: Final answer
    x = 23,462.65

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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.