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Finding the Fourth Proportional to 262,089.68, 393,147.96 and 75,102.80

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Solution

The fourth proportional to 262,089.68, 393,147.96 and 75,102.80 is: 112,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,089.68 : 393,147.96 = 75,102.80 : x
  2. Step 2: Convert to fraction form
    262,089.68/393,147.96 = 75,102.80/x
  3. Step 3: Cross multiply
    262,089.68x = 393,147.96 × 75,102.80
  4. Step 4: Simplify right side
    262,089.68x = 29,526,512,610.29
  5. Step 5: Solve for x
    x = 29,526,512,610.29/262,089.68
  6. Step 6: Final answer
    x = 112,658.05

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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.