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Finding the Fourth Proportional to 75,876.78, 104,713.23 and 42,342.78

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Solution

The fourth proportional to 75,876.78, 104,713.23 and 42,342.78 is: 58,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,876.78 : 104,713.23 = 42,342.78 : x
  2. Step 2: Convert to fraction form
    75,876.78/104,713.23 = 42,342.78/x
  3. Step 3: Cross multiply
    75,876.78x = 104,713.23 × 42,342.78
  4. Step 4: Simplify right side
    75,876.78x = 4,433,849,260.98
  5. Step 5: Solve for x
    x = 4,433,849,260.98/75,876.78
  6. Step 6: Final answer
    x = 58,434.86

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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.