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Finding the Fourth Proportional to 262,651.52, 393,985.92 and 85,160

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Solution

The fourth proportional to 262,651.52, 393,985.92 and 85,160 is: 127,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,651.52 : 393,985.92 = 85,160 : x
  2. Step 2: Convert to fraction form
    262,651.52/393,985.92 = 85,160/x
  3. Step 3: Cross multiply
    262,651.52x = 393,985.92 × 85,160
  4. Step 4: Simplify right side
    262,651.52x = 33,551,840,947.20
  5. Step 5: Solve for x
    x = 33,551,840,947.20/262,651.52
  6. Step 6: Final answer
    x = 127,742.80

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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.