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Finding the Fourth Proportional to 89,686.68, 134,532.36 and 27,357

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Solution

The fourth proportional to 89,686.68, 134,532.36 and 27,357 is: 41,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,686.68 : 134,532.36 = 27,357 : x
  2. Step 2: Convert to fraction form
    89,686.68/134,532.36 = 27,357/x
  3. Step 3: Cross multiply
    89,686.68x = 134,532.36 × 27,357
  4. Step 4: Simplify right side
    89,686.68x = 3,680,401,772.52
  5. Step 5: Solve for x
    x = 3,680,401,772.52/89,686.68
  6. Step 6: Final answer
    x = 41,036.21

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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.