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Finding the Fourth Proportional to 280,821.80, 421,232.70 and 81,148.70

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Solution

The fourth proportional to 280,821.80, 421,232.70 and 81,148.70 is: 121,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,821.80 : 421,232.70 = 81,148.70 : x
  2. Step 2: Convert to fraction form
    280,821.80/421,232.70 = 81,148.70/x
  3. Step 3: Cross multiply
    280,821.80x = 421,232.70 × 81,148.70
  4. Step 4: Simplify right side
    280,821.80x = 34,182,486,002.49
  5. Step 5: Solve for x
    x = 34,182,486,002.49/280,821.80
  6. Step 6: Final answer
    x = 121,723.05

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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.