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Finding the Fourth Proportional to 262,649.52, 393,982.92 and 85,158

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Solution

The fourth proportional to 262,649.52, 393,982.92 and 85,158 is: 127,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,649.52 : 393,982.92 = 85,158 : x
  2. Step 2: Convert to fraction form
    262,649.52/393,982.92 = 85,158/x
  3. Step 3: Cross multiply
    262,649.52x = 393,982.92 × 85,158
  4. Step 4: Simplify right side
    262,649.52x = 33,550,797,501.36
  5. Step 5: Solve for x
    x = 33,550,797,501.36/262,649.52
  6. Step 6: Final answer
    x = 127,739.80

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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.