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Finding the Fourth Proportional to 77,162.52, 115,720.23 and 27,230.95

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Solution

The fourth proportional to 77,162.52, 115,720.23 and 27,230.95 is: 40,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,162.52 : 115,720.23 = 27,230.95 : x
  2. Step 2: Convert to fraction form
    77,162.52/115,720.23 = 27,230.95/x
  3. Step 3: Cross multiply
    77,162.52x = 115,720.23 × 27,230.95
  4. Step 4: Simplify right side
    77,162.52x = 3,151,171,797.12
  5. Step 5: Solve for x
    x = 3,151,171,797.12/77,162.52
  6. Step 6: Final answer
    x = 40,838.12

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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.