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Finding the Fourth Proportional to 52,604.80, 78,874.80 and 30,407.20

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Solution

The fourth proportional to 52,604.80, 78,874.80 and 30,407.20 is: 45,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,604.80 : 78,874.80 = 30,407.20 : x
  2. Step 2: Convert to fraction form
    52,604.80/78,874.80 = 30,407.20/x
  3. Step 3: Cross multiply
    52,604.80x = 78,874.80 × 30,407.20
  4. Step 4: Simplify right side
    52,604.80x = 2,398,361,818.56
  5. Step 5: Solve for x
    x = 2,398,361,818.56/52,604.80
  6. Step 6: Final answer
    x = 45,592.07

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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.