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Finding the Fourth Proportional to 78,185.88, 117,275.88 and 22,780.44

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Solution

The fourth proportional to 78,185.88, 117,275.88 and 22,780.44 is: 34,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,185.88 : 117,275.88 = 22,780.44 : x
  2. Step 2: Convert to fraction form
    78,185.88/117,275.88 = 22,780.44/x
  3. Step 3: Cross multiply
    78,185.88x = 117,275.88 × 22,780.44
  4. Step 4: Simplify right side
    78,185.88x = 2,671,596,147.79
  5. Step 5: Solve for x
    x = 2,671,596,147.79/78,185.88
  6. Step 6: Final answer
    x = 34,169.80

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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.