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Finding the Fourth Proportional to 221,472.48, 305,627.76 and 120,871.20

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Solution

The fourth proportional to 221,472.48, 305,627.76 and 120,871.20 is: 166,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,472.48 : 305,627.76 = 120,871.20 : x
  2. Step 2: Convert to fraction form
    221,472.48/305,627.76 = 120,871.20/x
  3. Step 3: Cross multiply
    221,472.48x = 305,627.76 × 120,871.20
  4. Step 4: Simplify right side
    221,472.48x = 36,941,594,104.51
  5. Step 5: Solve for x
    x = 36,941,594,104.51/221,472.48
  6. Step 6: Final answer
    x = 166,799.93

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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.