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Finding the Fourth Proportional to 78,774.78, 108,690.49 and 44,780.57

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Solution

The fourth proportional to 78,774.78, 108,690.49 and 44,780.57 is: 61,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,774.78 : 108,690.49 = 44,780.57 : x
  2. Step 2: Convert to fraction form
    78,774.78/108,690.49 = 44,780.57/x
  3. Step 3: Cross multiply
    78,774.78x = 108,690.49 × 44,780.57
  4. Step 4: Simplify right side
    78,774.78x = 4,867,221,927.85
  5. Step 5: Solve for x
    x = 4,867,221,927.85/78,774.78
  6. Step 6: Final answer
    x = 61,786.55

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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.