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Finding the Fourth Proportional to 78,055.92, 117,083.34 and 18,891.90

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Solution

The fourth proportional to 78,055.92, 117,083.34 and 18,891.90 is: 28,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,055.92 : 117,083.34 = 18,891.90 : x
  2. Step 2: Convert to fraction form
    78,055.92/117,083.34 = 18,891.90/x
  3. Step 3: Cross multiply
    78,055.92x = 117,083.34 × 18,891.90
  4. Step 4: Simplify right side
    78,055.92x = 2,211,926,750.95
  5. Step 5: Solve for x
    x = 2,211,926,750.95/78,055.92
  6. Step 6: Final answer
    x = 28,337.72

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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.