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Finding the Fourth Proportional to 158,175.79, 236,965.62 and 78,120.05

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Solution

The fourth proportional to 158,175.79, 236,965.62 and 78,120.05 is: 117,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,175.79 : 236,965.62 = 78,120.05 : x
  2. Step 2: Convert to fraction form
    158,175.79/236,965.62 = 78,120.05/x
  3. Step 3: Cross multiply
    158,175.79x = 236,965.62 × 78,120.05
  4. Step 4: Simplify right side
    158,175.79x = 18,511,766,082.68
  5. Step 5: Solve for x
    x = 18,511,766,082.68/158,175.79
  6. Step 6: Final answer
    x = 117,032.87

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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.