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Finding the Fourth Proportional to 78,562.67, 117,891.29 and 28,647.03

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Solution

The fourth proportional to 78,562.67, 117,891.29 and 28,647.03 is: 42,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,562.67 : 117,891.29 = 28,647.03 : x
  2. Step 2: Convert to fraction form
    78,562.67/117,891.29 = 28,647.03/x
  3. Step 3: Cross multiply
    78,562.67x = 117,891.29 × 28,647.03
  4. Step 4: Simplify right side
    78,562.67x = 3,377,235,392.99
  5. Step 5: Solve for x
    x = 3,377,235,392.99/78,562.67
  6. Step 6: Final answer
    x = 42,987.79

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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.