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Finding the Fourth Proportional to 235,115.64, 324,466 and 138,326.30

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Solution

The fourth proportional to 235,115.64, 324,466 and 138,326.30 is: 190,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,115.64 : 324,466 = 138,326.30 : x
  2. Step 2: Convert to fraction form
    235,115.64/324,466 = 138,326.30/x
  3. Step 3: Cross multiply
    235,115.64x = 324,466 × 138,326.30
  4. Step 4: Simplify right side
    235,115.64x = 44,882,181,255.80
  5. Step 5: Solve for x
    x = 44,882,181,255.80/235,115.64
  6. Step 6: Final answer
    x = 190,894.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.