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Finding the Fourth Proportional to 235,919.59, 354,031.62 and 86,147.33

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Solution

The fourth proportional to 235,919.59, 354,031.62 and 86,147.33 is: 129,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,919.59 : 354,031.62 = 86,147.33 : x
  2. Step 2: Convert to fraction form
    235,919.59/354,031.62 = 86,147.33/x
  3. Step 3: Cross multiply
    235,919.59x = 354,031.62 × 86,147.33
  4. Step 4: Simplify right side
    235,919.59x = 30,498,878,367.84
  5. Step 5: Solve for x
    x = 30,498,878,367.84/235,919.59
  6. Step 6: Final answer
    x = 129,276.59

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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.