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Finding the Fourth Proportional to 261,317.80, 391,978.86 and 83,826.28

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Solution

The fourth proportional to 261,317.80, 391,978.86 and 83,826.28 is: 125,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,317.80 : 391,978.86 = 83,826.28 : x
  2. Step 2: Convert to fraction form
    261,317.80/391,978.86 = 83,826.28/x
  3. Step 3: Cross multiply
    261,317.80x = 391,978.86 × 83,826.28
  4. Step 4: Simplify right side
    261,317.80x = 32,858,129,672.44
  5. Step 5: Solve for x
    x = 32,858,129,672.44/261,317.80
  6. Step 6: Final answer
    x = 125,740.11

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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.