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Finding the Fourth Proportional to 78,242.67, 117,334.54 and 28,310.42

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Solution

The fourth proportional to 78,242.67, 117,334.54 and 28,310.42 is: 42,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.67 : 117,334.54 = 28,310.42 : x
  2. Step 2: Convert to fraction form
    78,242.67/117,334.54 = 28,310.42/x
  3. Step 3: Cross multiply
    78,242.67x = 117,334.54 × 28,310.42
  4. Step 4: Simplify right side
    78,242.67x = 3,321,789,966.35
  5. Step 5: Solve for x
    x = 3,321,789,966.35/78,242.67
  6. Step 6: Final answer
    x = 42,454.97

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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.