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Finding the Fourth Proportional to 215,843.16, 323,686.98 and 91,193.88

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Solution

The fourth proportional to 215,843.16, 323,686.98 and 91,193.88 is: 136,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,843.16 : 323,686.98 = 91,193.88 : x
  2. Step 2: Convert to fraction form
    215,843.16/323,686.98 = 91,193.88/x
  3. Step 3: Cross multiply
    215,843.16x = 323,686.98 × 91,193.88
  4. Step 4: Simplify right side
    215,843.16x = 29,518,271,611.68
  5. Step 5: Solve for x
    x = 29,518,271,611.68/215,843.16
  6. Step 6: Final answer
    x = 136,757.97

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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.