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Finding the Fourth Proportional to 260,689.31, 391,051.71 and 83,209.68

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Solution

The fourth proportional to 260,689.31, 391,051.71 and 83,209.68 is: 124,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,689.31 : 391,051.71 = 83,209.68 : x
  2. Step 2: Convert to fraction form
    260,689.31/391,051.71 = 83,209.68/x
  3. Step 3: Cross multiply
    260,689.31x = 391,051.71 × 83,209.68
  4. Step 4: Simplify right side
    260,689.31x = 32,539,287,652.55
  5. Step 5: Solve for x
    x = 32,539,287,652.55/260,689.31
  6. Step 6: Final answer
    x = 124,820.18

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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.