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Finding the Fourth Proportional to 78,092.76, 117,138.12 and 18,928.95

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Solution

The fourth proportional to 78,092.76, 117,138.12 and 18,928.95 is: 28,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,092.76 : 117,138.12 = 18,928.95 : x
  2. Step 2: Convert to fraction form
    78,092.76/117,138.12 = 18,928.95/x
  3. Step 3: Cross multiply
    78,092.76x = 117,138.12 × 18,928.95
  4. Step 4: Simplify right side
    78,092.76x = 2,217,301,616.57
  5. Step 5: Solve for x
    x = 2,217,301,616.57/78,092.76
  6. Step 6: Final answer
    x = 28,393.18

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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.