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Finding the Fourth Proportional to 78,233.57, 117,158.96 and 70,651.97

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Solution

The fourth proportional to 78,233.57, 117,158.96 and 70,651.97 is: 105,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,233.57 : 117,158.96 = 70,651.97 : x
  2. Step 2: Convert to fraction form
    78,233.57/117,158.96 = 70,651.97/x
  3. Step 3: Cross multiply
    78,233.57x = 117,158.96 × 70,651.97
  4. Step 4: Simplify right side
    78,233.57x = 8,277,510,388.10
  5. Step 5: Solve for x
    x = 8,277,510,388.10/78,233.57
  6. Step 6: Final answer
    x = 105,805.10

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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.