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Finding the Fourth Proportional to 221,086.08, 305,098.80 and 120,484

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Solution

The fourth proportional to 221,086.08, 305,098.80 and 120,484 is: 166,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,086.08 : 305,098.80 = 120,484 : x
  2. Step 2: Convert to fraction form
    221,086.08/305,098.80 = 120,484/x
  3. Step 3: Cross multiply
    221,086.08x = 305,098.80 × 120,484
  4. Step 4: Simplify right side
    221,086.08x = 36,759,523,819.20
  5. Step 5: Solve for x
    x = 36,759,523,819.20/221,086.08
  6. Step 6: Final answer
    x = 166,267.93

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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.