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Finding the Fourth Proportional to 70,747.50, 106,121.97 and 21,499.50

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Solution

The fourth proportional to 70,747.50, 106,121.97 and 21,499.50 is: 32,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,747.50 : 106,121.97 = 21,499.50 : x
  2. Step 2: Convert to fraction form
    70,747.50/106,121.97 = 21,499.50/x
  3. Step 3: Cross multiply
    70,747.50x = 106,121.97 × 21,499.50
  4. Step 4: Simplify right side
    70,747.50x = 2,281,569,294.02
  5. Step 5: Solve for x
    x = 2,281,569,294.02/70,747.50
  6. Step 6: Final answer
    x = 32,249.47

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1.5x scale

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.