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Finding the Fourth Proportional to 78,780.48, 118,214.88 and 41,843.52

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Solution

The fourth proportional to 78,780.48, 118,214.88 and 41,843.52 is: 62,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,780.48 : 118,214.88 = 41,843.52 : x
  2. Step 2: Convert to fraction form
    78,780.48/118,214.88 = 41,843.52/x
  3. Step 3: Cross multiply
    78,780.48x = 118,214.88 × 41,843.52
  4. Step 4: Simplify right side
    78,780.48x = 4,946,526,695.58
  5. Step 5: Solve for x
    x = 4,946,526,695.58/78,780.48
  6. Step 6: Final answer
    x = 62,788.74

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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.