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Finding the Fourth Proportional to 260,872.74, 391,140.63 and 83,320.74

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Solution

The fourth proportional to 260,872.74, 391,140.63 and 83,320.74 is: 124,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,872.74 : 391,140.63 = 83,320.74 : x
  2. Step 2: Convert to fraction form
    260,872.74/391,140.63 = 83,320.74/x
  3. Step 3: Cross multiply
    260,872.74x = 391,140.63 × 83,320.74
  4. Step 4: Simplify right side
    260,872.74x = 32,590,126,735.67
  5. Step 5: Solve for x
    x = 32,590,126,735.67/260,872.74
  6. Step 6: Final answer
    x = 124,927.30

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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.