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Finding the Fourth Proportional to 221,515.34, 305,691.20 and 120,913.34

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Solution

The fourth proportional to 221,515.34, 305,691.20 and 120,913.34 is: 166,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,515.34 : 305,691.20 = 120,913.34 : x
  2. Step 2: Convert to fraction form
    221,515.34/305,691.20 = 120,913.34/x
  3. Step 3: Cross multiply
    221,515.34x = 305,691.20 × 120,913.34
  4. Step 4: Simplify right side
    221,515.34x = 36,962,144,000.61
  5. Step 5: Solve for x
    x = 36,962,144,000.61/221,515.34
  6. Step 6: Final answer
    x = 166,860.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.