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Finding the Fourth Proportional to 78,218.91, 117,258.77 and 28,287.90

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Solution

The fourth proportional to 78,218.91, 117,258.77 and 28,287.90 is: 42,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.91 : 117,258.77 = 28,287.90 : x
  2. Step 2: Convert to fraction form
    78,218.91/117,258.77 = 28,287.90/x
  3. Step 3: Cross multiply
    78,218.91x = 117,258.77 × 28,287.90
  4. Step 4: Simplify right side
    78,218.91x = 3,317,004,359.88
  5. Step 5: Solve for x
    x = 3,317,004,359.88/78,218.91
  6. Step 6: Final answer
    x = 42,406.68

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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.