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Finding the Fourth Proportional to 77,879.54, 107,473.71 and 42,069.56

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Solution

The fourth proportional to 77,879.54, 107,473.71 and 42,069.56 is: 58,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,879.54 : 107,473.71 = 42,069.56 : x
  2. Step 2: Convert to fraction form
    77,879.54/107,473.71 = 42,069.56/x
  3. Step 3: Cross multiply
    77,879.54x = 107,473.71 × 42,069.56
  4. Step 4: Simplify right side
    77,879.54x = 4,521,371,691.27
  5. Step 5: Solve for x
    x = 4,521,371,691.27/77,879.54
  6. Step 6: Final answer
    x = 58,055.96

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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.