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Finding the Fourth Proportional to 76,013.92, 104,890.13 and 42,017.82

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Solution

The fourth proportional to 76,013.92, 104,890.13 and 42,017.82 is: 57,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,013.92 : 104,890.13 = 42,017.82 : x
  2. Step 2: Convert to fraction form
    76,013.92/104,890.13 = 42,017.82/x
  3. Step 3: Cross multiply
    76,013.92x = 104,890.13 × 42,017.82
  4. Step 4: Simplify right side
    76,013.92x = 4,407,253,867.58
  5. Step 5: Solve for x
    x = 4,407,253,867.58/76,013.92
  6. Step 6: Final answer
    x = 57,979.56

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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.