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Finding the Fourth Proportional to 67,219.50, 100,812.50 and 20,471.70

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Solution

The fourth proportional to 67,219.50, 100,812.50 and 20,471.70 is: 30,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,219.50 : 100,812.50 = 20,471.70 : x
  2. Step 2: Convert to fraction form
    67,219.50/100,812.50 = 20,471.70/x
  3. Step 3: Cross multiply
    67,219.50x = 100,812.50 × 20,471.70
  4. Step 4: Simplify right side
    67,219.50x = 2,063,803,256.25
  5. Step 5: Solve for x
    x = 2,063,803,256.25/67,219.50
  6. Step 6: Final answer
    x = 30,702.45

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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.