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Finding the Fourth Proportional to 77,578.56, 116,418.87 and 42,542.82

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Solution

The fourth proportional to 77,578.56, 116,418.87 and 42,542.82 is: 63,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,578.56 : 116,418.87 = 42,542.82 : x
  2. Step 2: Convert to fraction form
    77,578.56/116,418.87 = 42,542.82/x
  3. Step 3: Cross multiply
    77,578.56x = 116,418.87 × 42,542.82
  4. Step 4: Simplify right side
    77,578.56x = 4,952,787,031.01
  5. Step 5: Solve for x
    x = 4,952,787,031.01/77,578.56
  6. Step 6: Final answer
    x = 63,842.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.