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Finding the Fourth Proportional to 70,747, 106,121.22 and 21,499

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Solution

The fourth proportional to 70,747, 106,121.22 and 21,499 is: 32,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,747 : 106,121.22 = 21,499 : x
  2. Step 2: Convert to fraction form
    70,747/106,121.22 = 21,499/x
  3. Step 3: Cross multiply
    70,747x = 106,121.22 × 21,499
  4. Step 4: Simplify right side
    70,747x = 2,281,500,108.78
  5. Step 5: Solve for x
    x = 2,281,500,108.78/70,747
  6. Step 6: Final answer
    x = 32,248.72

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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.