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Finding the Fourth Proportional to 78,093.54, 117,139.23 and 18,929.70

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Solution

The fourth proportional to 78,093.54, 117,139.23 and 18,929.70 is: 28,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093.54 : 117,139.23 = 18,929.70 : x
  2. Step 2: Convert to fraction form
    78,093.54/117,139.23 = 18,929.70/x
  3. Step 3: Cross multiply
    78,093.54x = 117,139.23 × 18,929.70
  4. Step 4: Simplify right side
    78,093.54x = 2,217,410,482.13
  5. Step 5: Solve for x
    x = 2,217,410,482.13/78,093.54
  6. Step 6: Final answer
    x = 28,394.29

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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.