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Finding the Fourth Proportional to 221,654.67, 305,895.25 and 126,192.12

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Solution

The fourth proportional to 221,654.67, 305,895.25 and 126,192.12 is: 174,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,654.67 : 305,895.25 = 126,192.12 : x
  2. Step 2: Convert to fraction form
    221,654.67/305,895.25 = 126,192.12/x
  3. Step 3: Cross multiply
    221,654.67x = 305,895.25 × 126,192.12
  4. Step 4: Simplify right side
    221,654.67x = 38,601,570,095.43
  5. Step 5: Solve for x
    x = 38,601,570,095.43/221,654.67
  6. Step 6: Final answer
    x = 174,151.85

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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.