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Finding the Fourth Proportional to 78,694.20, 118,052.10 and 28,762.20

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Solution

The fourth proportional to 78,694.20, 118,052.10 and 28,762.20 is: 43,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,694.20 : 118,052.10 = 28,762.20 : x
  2. Step 2: Convert to fraction form
    78,694.20/118,052.10 = 28,762.20/x
  3. Step 3: Cross multiply
    78,694.20x = 118,052.10 × 28,762.20
  4. Step 4: Simplify right side
    78,694.20x = 3,395,438,110.62
  5. Step 5: Solve for x
    x = 3,395,438,110.62/78,694.20
  6. Step 6: Final answer
    x = 43,147.25

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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.