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Finding the Fourth Proportional to 262,069.92, 393,102.72 and 75,081.60

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Solution

The fourth proportional to 262,069.92, 393,102.72 and 75,081.60 is: 112,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,069.92 : 393,102.72 = 75,081.60 : x
  2. Step 2: Convert to fraction form
    262,069.92/393,102.72 = 75,081.60/x
  3. Step 3: Cross multiply
    262,069.92x = 393,102.72 × 75,081.60
  4. Step 4: Simplify right side
    262,069.92x = 29,514,781,181.95
  5. Step 5: Solve for x
    x = 29,514,781,181.95/262,069.92
  6. Step 6: Final answer
    x = 112,621.78

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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.