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Finding the Fourth Proportional to 77,854.64, 107,439.41 and 42,044.64

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Solution

The fourth proportional to 77,854.64, 107,439.41 and 42,044.64 is: 58,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.64 : 107,439.41 = 42,044.64 : x
  2. Step 2: Convert to fraction form
    77,854.64/107,439.41 = 42,044.64/x
  3. Step 3: Cross multiply
    77,854.64x = 107,439.41 × 42,044.64
  4. Step 4: Simplify right side
    77,854.64x = 4,517,251,105.04
  5. Step 5: Solve for x
    x = 4,517,251,105.04/77,854.64
  6. Step 6: Final answer
    x = 58,021.61

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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.