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Finding the Fourth Proportional to 77,078.52, 115,625.48 and 20,919.53

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Solution

The fourth proportional to 77,078.52, 115,625.48 and 20,919.53 is: 31,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078.52 : 115,625.48 = 20,919.53 : x
  2. Step 2: Convert to fraction form
    77,078.52/115,625.48 = 20,919.53/x
  3. Step 3: Cross multiply
    77,078.52x = 115,625.48 × 20,919.53
  4. Step 4: Simplify right side
    77,078.52x = 2,418,830,882.09
  5. Step 5: Solve for x
    x = 2,418,830,882.09/77,078.52
  6. Step 6: Final answer
    x = 31,381.39

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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.