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Finding the Fourth Proportional to 45,147, 67,720.52 and 12,315

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Solution

The fourth proportional to 45,147, 67,720.52 and 12,315 is: 18,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,147 : 67,720.52 = 12,315 : x
  2. Step 2: Convert to fraction form
    45,147/67,720.52 = 12,315/x
  3. Step 3: Cross multiply
    45,147x = 67,720.52 × 12,315
  4. Step 4: Simplify right side
    45,147x = 833,978,203.80
  5. Step 5: Solve for x
    x = 833,978,203.80/45,147
  6. Step 6: Final answer
    x = 18,472.51

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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.