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Finding the Fourth Proportional to 221,843.42, 332,631.85 and 86,746.56

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Solution

The fourth proportional to 221,843.42, 332,631.85 and 86,746.56 is: 130,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,843.42 : 332,631.85 = 86,746.56 : x
  2. Step 2: Convert to fraction form
    221,843.42/332,631.85 = 86,746.56/x
  3. Step 3: Cross multiply
    221,843.42x = 332,631.85 × 86,746.56
  4. Step 4: Simplify right side
    221,843.42x = 28,854,669,303.40
  5. Step 5: Solve for x
    x = 28,854,669,303.40/221,843.42
  6. Step 6: Final answer
    x = 130,067.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.