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Finding the Fourth Proportional to 78,156.84, 117,234.96 and 18,992.69

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Solution

The fourth proportional to 78,156.84, 117,234.96 and 18,992.69 is: 28,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.84 : 117,234.96 = 18,992.69 : x
  2. Step 2: Convert to fraction form
    78,156.84/117,234.96 = 18,992.69/x
  3. Step 3: Cross multiply
    78,156.84x = 117,234.96 × 18,992.69
  4. Step 4: Simplify right side
    78,156.84x = 2,226,606,595.05
  5. Step 5: Solve for x
    x = 2,226,606,595.05/78,156.84
  6. Step 6: Final answer
    x = 28,488.95

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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.