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Finding the Fourth Proportional to 260,089.52, 390,147.76 and 82,610.40

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Solution

The fourth proportional to 260,089.52, 390,147.76 and 82,610.40 is: 123,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,089.52 : 390,147.76 = 82,610.40 : x
  2. Step 2: Convert to fraction form
    260,089.52/390,147.76 = 82,610.40/x
  3. Step 3: Cross multiply
    260,089.52x = 390,147.76 × 82,610.40
  4. Step 4: Simplify right side
    260,089.52x = 32,230,262,512.70
  5. Step 5: Solve for x
    x = 32,230,262,512.70/260,089.52
  6. Step 6: Final answer
    x = 123,919.88

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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.