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Finding the Fourth Proportional to 86,311.92, 129,467.88 and 49,350

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Solution

The fourth proportional to 86,311.92, 129,467.88 and 49,350 is: 74,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,311.92 : 129,467.88 = 49,350 : x
  2. Step 2: Convert to fraction form
    86,311.92/129,467.88 = 49,350/x
  3. Step 3: Cross multiply
    86,311.92x = 129,467.88 × 49,350
  4. Step 4: Simplify right side
    86,311.92x = 6,389,239,878
  5. Step 5: Solve for x
    x = 6,389,239,878/86,311.92
  6. Step 6: Final answer
    x = 74,025

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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.