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Finding the Fourth Proportional to 221,061.72, 305,065.35 and 120,459.72

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Solution

The fourth proportional to 221,061.72, 305,065.35 and 120,459.72 is: 166,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,061.72 : 305,065.35 = 120,459.72 : x
  2. Step 2: Convert to fraction form
    221,061.72/305,065.35 = 120,459.72/x
  3. Step 3: Cross multiply
    221,061.72x = 305,065.35 × 120,459.72
  4. Step 4: Simplify right side
    221,061.72x = 36,748,086,642.70
  5. Step 5: Solve for x
    x = 36,748,086,642.70/221,061.72
  6. Step 6: Final answer
    x = 166,234.51

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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.