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Finding the Fourth Proportional to 260,720.64, 391,072.56 and 83,238.48

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Solution

The fourth proportional to 260,720.64, 391,072.56 and 83,238.48 is: 124,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,720.64 : 391,072.56 = 83,238.48 : x
  2. Step 2: Convert to fraction form
    260,720.64/391,072.56 = 83,238.48/x
  3. Step 3: Cross multiply
    260,720.64x = 391,072.56 × 83,238.48
  4. Step 4: Simplify right side
    260,720.64x = 32,552,285,464.11
  5. Step 5: Solve for x
    x = 32,552,285,464.11/260,720.64
  6. Step 6: Final answer
    x = 124,855.04

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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.