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Finding the Fourth Proportional to 78,841.44, 118,277.72 and 28,922.00

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Solution

The fourth proportional to 78,841.44, 118,277.72 and 28,922.00 is: 43,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,841.44 : 118,277.72 = 28,922.00 : x
  2. Step 2: Convert to fraction form
    78,841.44/118,277.72 = 28,922.00/x
  3. Step 3: Cross multiply
    78,841.44x = 118,277.72 × 28,922.00
  4. Step 4: Simplify right side
    78,841.44x = 3,420,827,481.84
  5. Step 5: Solve for x
    x = 3,420,827,481.84/78,841.44
  6. Step 6: Final answer
    x = 43,388.70

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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.