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Finding the Fourth Proportional to 77,906.52, 107,511.47 and 49,238.88

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Solution

The fourth proportional to 77,906.52, 107,511.47 and 49,238.88 is: 67,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906.52 : 107,511.47 = 49,238.88 : x
  2. Step 2: Convert to fraction form
    77,906.52/107,511.47 = 49,238.88/x
  3. Step 3: Cross multiply
    77,906.52x = 107,511.47 × 49,238.88
  4. Step 4: Simplify right side
    77,906.52x = 5,293,744,382.46
  5. Step 5: Solve for x
    x = 5,293,744,382.46/77,906.52
  6. Step 6: Final answer
    x = 67,949.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.