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Finding the Fourth Proportional to 87,181.92, 130,766.34 and 31,019.76

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Solution

The fourth proportional to 87,181.92, 130,766.34 and 31,019.76 is: 46,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,181.92 : 130,766.34 = 31,019.76 : x
  2. Step 2: Convert to fraction form
    87,181.92/130,766.34 = 31,019.76/x
  3. Step 3: Cross multiply
    87,181.92x = 130,766.34 × 31,019.76
  4. Step 4: Simplify right side
    87,181.92x = 4,056,340,482.88
  5. Step 5: Solve for x
    x = 4,056,340,482.88/87,181.92
  6. Step 6: Final answer
    x = 46,527.31

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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.