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Finding the Fourth Proportional to 260,717.12, 391,139.68 and 83,224

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Solution

The fourth proportional to 260,717.12, 391,139.68 and 83,224 is: 124,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,717.12 : 391,139.68 = 83,224 : x
  2. Step 2: Convert to fraction form
    260,717.12/391,139.68 = 83,224/x
  3. Step 3: Cross multiply
    260,717.12x = 391,139.68 × 83,224
  4. Step 4: Simplify right side
    260,717.12x = 32,552,208,728.32
  5. Step 5: Solve for x
    x = 32,552,208,728.32/260,717.12
  6. Step 6: Final answer
    x = 124,856.43

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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.