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Finding the Fourth Proportional to 78,092.71, 117,139.06 and 18,928.38

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Solution

The fourth proportional to 78,092.71, 117,139.06 and 18,928.38 is: 28,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,092.71 : 117,139.06 = 18,928.38 : x
  2. Step 2: Convert to fraction form
    78,092.71/117,139.06 = 18,928.38/x
  3. Step 3: Cross multiply
    78,092.71x = 117,139.06 × 18,928.38
  4. Step 4: Simplify right side
    78,092.71x = 2,217,252,593.20
  5. Step 5: Solve for x
    x = 2,217,252,593.20/78,092.71
  6. Step 6: Final answer
    x = 28,392.57

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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.