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Finding the Fourth Proportional to 221,648.40, 305,872.56 and 121,046.40

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Solution

The fourth proportional to 221,648.40, 305,872.56 and 121,046.40 is: 167,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,648.40 : 305,872.56 = 121,046.40 : x
  2. Step 2: Convert to fraction form
    221,648.40/305,872.56 = 121,046.40/x
  3. Step 3: Cross multiply
    221,648.40x = 305,872.56 × 121,046.40
  4. Step 4: Simplify right side
    221,648.40x = 37,024,772,246.78
  5. Step 5: Solve for x
    x = 37,024,772,246.78/221,648.40
  6. Step 6: Final answer
    x = 167,042.81

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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.