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Finding the Fourth Proportional to 70,750, 106,125.72 and 21,502

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Solution

The fourth proportional to 70,750, 106,125.72 and 21,502 is: 32,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,750 : 106,125.72 = 21,502 : x
  2. Step 2: Convert to fraction form
    70,750/106,125.72 = 21,502/x
  3. Step 3: Cross multiply
    70,750x = 106,125.72 × 21,502
  4. Step 4: Simplify right side
    70,750x = 2,281,915,231.44
  5. Step 5: Solve for x
    x = 2,281,915,231.44/70,750
  6. Step 6: Final answer
    x = 32,253.22

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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.