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Finding the Fourth Proportional to 77,959.92, 107,633.88 and 54,078.24

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Solution

The fourth proportional to 77,959.92, 107,633.88 and 54,078.24 is: 74,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,959.92 : 107,633.88 = 54,078.24 : x
  2. Step 2: Convert to fraction form
    77,959.92/107,633.88 = 54,078.24/x
  3. Step 3: Cross multiply
    77,959.92x = 107,633.88 × 54,078.24
  4. Step 4: Simplify right side
    77,959.92x = 5,820,650,794.77
  5. Step 5: Solve for x
    x = 5,820,650,794.77/77,959.92
  6. Step 6: Final answer
    x = 74,662.09

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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.