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Finding the Fourth Proportional to 136,723, 205,087.76 and 53,617

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Solution

The fourth proportional to 136,723, 205,087.76 and 53,617 is: 80,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,723 : 205,087.76 = 53,617 : x
  2. Step 2: Convert to fraction form
    136,723/205,087.76 = 53,617/x
  3. Step 3: Cross multiply
    136,723x = 205,087.76 × 53,617
  4. Step 4: Simplify right side
    136,723x = 10,996,190,427.92
  5. Step 5: Solve for x
    x = 10,996,190,427.92/136,723
  6. Step 6: Final answer
    x = 80,426.78

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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.