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Finding the Fourth Proportional to 86,882.32, 130,321.20 and 27,721.60

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Solution

The fourth proportional to 86,882.32, 130,321.20 and 27,721.60 is: 41,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,882.32 : 130,321.20 = 27,721.60 : x
  2. Step 2: Convert to fraction form
    86,882.32/130,321.20 = 27,721.60/x
  3. Step 3: Cross multiply
    86,882.32x = 130,321.20 × 27,721.60
  4. Step 4: Simplify right side
    86,882.32x = 3,612,712,177.92
  5. Step 5: Solve for x
    x = 3,612,712,177.92/86,882.32
  6. Step 6: Final answer
    x = 41,581.67

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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.