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Finding the Fourth Proportional to 77,877.79, 107,471.29 and 42,067.80

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Solution

The fourth proportional to 77,877.79, 107,471.29 and 42,067.80 is: 58,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,877.79 : 107,471.29 = 42,067.80 : x
  2. Step 2: Convert to fraction form
    77,877.79/107,471.29 = 42,067.80/x
  3. Step 3: Cross multiply
    77,877.79x = 107,471.29 × 42,067.80
  4. Step 4: Simplify right side
    77,877.79x = 4,521,080,733.46
  5. Step 5: Solve for x
    x = 4,521,080,733.46/77,877.79
  6. Step 6: Final answer
    x = 58,053.53

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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.