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Finding the Fourth Proportional to 52,489.70, 78,734.55 and 21,347.30

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Solution

The fourth proportional to 52,489.70, 78,734.55 and 21,347.30 is: 32,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,489.70 : 78,734.55 = 21,347.30 : x
  2. Step 2: Convert to fraction form
    52,489.70/78,734.55 = 21,347.30/x
  3. Step 3: Cross multiply
    52,489.70x = 78,734.55 × 21,347.30
  4. Step 4: Simplify right side
    52,489.70x = 1,680,770,059.22
  5. Step 5: Solve for x
    x = 1,680,770,059.22/52,489.70
  6. Step 6: Final answer
    x = 32,020.95

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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.