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Finding the Fourth Proportional to 87,410, 131,212.26 and 45,278.84

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Solution

The fourth proportional to 87,410, 131,212.26 and 45,278.84 is: 67,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,410 : 131,212.26 = 45,278.84 : x
  2. Step 2: Convert to fraction form
    87,410/131,212.26 = 45,278.84/x
  3. Step 3: Cross multiply
    87,410x = 131,212.26 × 45,278.84
  4. Step 4: Simplify right side
    87,410x = 5,941,138,926.58
  5. Step 5: Solve for x
    x = 5,941,138,926.58/87,410
  6. Step 6: Final answer
    x = 67,968.64

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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.