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Finding the Fourth Proportional to 91,251.42, 136,878 and 32,087.58

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Solution

The fourth proportional to 91,251.42, 136,878 and 32,087.58 is: 48,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,251.42 : 136,878 = 32,087.58 : x
  2. Step 2: Convert to fraction form
    91,251.42/136,878 = 32,087.58/x
  3. Step 3: Cross multiply
    91,251.42x = 136,878 × 32,087.58
  4. Step 4: Simplify right side
    91,251.42x = 4,392,083,775.24
  5. Step 5: Solve for x
    x = 4,392,083,775.24/91,251.42
  6. Step 6: Final answer
    x = 48,131.68

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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.