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Finding the Fourth Proportional to 268,205.70, 402,052.55 and 99,680.90

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Solution

The fourth proportional to 268,205.70, 402,052.55 and 99,680.90 is: 149,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,205.70 : 402,052.55 = 99,680.90 : x
  2. Step 2: Convert to fraction form
    268,205.70/402,052.55 = 99,680.90/x
  3. Step 3: Cross multiply
    268,205.70x = 402,052.55 × 99,680.90
  4. Step 4: Simplify right side
    268,205.70x = 40,076,960,031.30
  5. Step 5: Solve for x
    x = 40,076,960,031.30/268,205.70
  6. Step 6: Final answer
    x = 149,426.21

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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.