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Finding the Fourth Proportional to 260,107.77, 389,842.11 and 147,881.88

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Solution

The fourth proportional to 260,107.77, 389,842.11 and 147,881.88 is: 221,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,107.77 : 389,842.11 = 147,881.88 : x
  2. Step 2: Convert to fraction form
    260,107.77/389,842.11 = 147,881.88/x
  3. Step 3: Cross multiply
    260,107.77x = 389,842.11 × 147,881.88
  4. Step 4: Simplify right side
    260,107.77x = 57,650,584,129.97
  5. Step 5: Solve for x
    x = 57,650,584,129.97/260,107.77
  6. Step 6: Final answer
    x = 221,641.15

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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.