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Finding the Fourth Proportional to 260,975.52, 391,491.36 and 83,419.20

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Solution

The fourth proportional to 260,975.52, 391,491.36 and 83,419.20 is: 125,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,975.52 : 391,491.36 = 83,419.20 : x
  2. Step 2: Convert to fraction form
    260,975.52/391,491.36 = 83,419.20/x
  3. Step 3: Cross multiply
    260,975.52x = 391,491.36 × 83,419.20
  4. Step 4: Simplify right side
    260,975.52x = 32,657,896,058.11
  5. Step 5: Solve for x
    x = 32,657,896,058.11/260,975.52
  6. Step 6: Final answer
    x = 125,137.78

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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.