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Finding the Fourth Proportional to 86,861.81, 130,311.84 and 49,439.50

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Solution

The fourth proportional to 86,861.81, 130,311.84 and 49,439.50 is: 74,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,861.81 : 130,311.84 = 49,439.50 : x
  2. Step 2: Convert to fraction form
    86,861.81/130,311.84 = 49,439.50/x
  3. Step 3: Cross multiply
    86,861.81x = 130,311.84 × 49,439.50
  4. Step 4: Simplify right side
    86,861.81x = 6,442,552,213.68
  5. Step 5: Solve for x
    x = 6,442,552,213.68/86,861.81
  6. Step 6: Final answer
    x = 74,170.14

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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.