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Finding the Fourth Proportional to 86,586.30, 129,976.65 and 66,951.90

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Solution

The fourth proportional to 86,586.30, 129,976.65 and 66,951.90 is: 100,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,586.30 : 129,976.65 = 66,951.90 : x
  2. Step 2: Convert to fraction form
    86,586.30/129,976.65 = 66,951.90/x
  3. Step 3: Cross multiply
    86,586.30x = 129,976.65 × 66,951.90
  4. Step 4: Simplify right side
    86,586.30x = 8,702,183,673.14
  5. Step 5: Solve for x
    x = 8,702,183,673.14/86,586.30
  6. Step 6: Final answer
    x = 100,503.01

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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.