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Finding the Fourth Proportional to 260,689.40, 391,051.92 and 83,209.85

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Solution

The fourth proportional to 260,689.40, 391,051.92 and 83,209.85 is: 124,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,689.40 : 391,051.92 = 83,209.85 : x
  2. Step 2: Convert to fraction form
    260,689.40/391,051.92 = 83,209.85/x
  3. Step 3: Cross multiply
    260,689.40x = 391,051.92 × 83,209.85
  4. Step 4: Simplify right side
    260,689.40x = 32,539,371,605.41
  5. Step 5: Solve for x
    x = 32,539,371,605.41/260,689.40
  6. Step 6: Final answer
    x = 124,820.46

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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.