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Finding the Fourth Proportional to 260,689.56, 391,052.09 and 83,209.93

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Solution

The fourth proportional to 260,689.56, 391,052.09 and 83,209.93 is: 124,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,689.56 : 391,052.09 = 83,209.93 : x
  2. Step 2: Convert to fraction form
    260,689.56/391,052.09 = 83,209.93/x
  3. Step 3: Cross multiply
    260,689.56x = 391,052.09 × 83,209.93
  4. Step 4: Simplify right side
    260,689.56x = 32,539,417,035.25
  5. Step 5: Solve for x
    x = 32,539,417,035.25/260,689.56
  6. Step 6: Final answer
    x = 124,820.56

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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.