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Finding the Fourth Proportional to 77,718.92, 116,565.94 and 27,789.70

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Solution

The fourth proportional to 77,718.92, 116,565.94 and 27,789.70 is: 41,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,718.92 : 116,565.94 = 27,789.70 : x
  2. Step 2: Convert to fraction form
    77,718.92/116,565.94 = 27,789.70/x
  3. Step 3: Cross multiply
    77,718.92x = 116,565.94 × 27,789.70
  4. Step 4: Simplify right side
    77,718.92x = 3,239,332,502.82
  5. Step 5: Solve for x
    x = 3,239,332,502.82/77,718.92
  6. Step 6: Final answer
    x = 41,680.10

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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.