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Finding the Fourth Proportional to 78,234.68, 117,369.30 and 36,659

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Solution

The fourth proportional to 78,234.68, 117,369.30 and 36,659 is: 54,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.68 : 117,369.30 = 36,659 : x
  2. Step 2: Convert to fraction form
    78,234.68/117,369.30 = 36,659/x
  3. Step 3: Cross multiply
    78,234.68x = 117,369.30 × 36,659
  4. Step 4: Simplify right side
    78,234.68x = 4,302,641,168.70
  5. Step 5: Solve for x
    x = 4,302,641,168.70/78,234.68
  6. Step 6: Final answer
    x = 54,996.60

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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.