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Finding the Fourth Proportional to 109,530, 151,151.40 and 59,229

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Solution

The fourth proportional to 109,530, 151,151.40 and 59,229 is: 81,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,530 : 151,151.40 = 59,229 : x
  2. Step 2: Convert to fraction form
    109,530/151,151.40 = 59,229/x
  3. Step 3: Cross multiply
    109,530x = 151,151.40 × 59,229
  4. Step 4: Simplify right side
    109,530x = 8,952,546,270.60
  5. Step 5: Solve for x
    x = 8,952,546,270.60/109,530
  6. Step 6: Final answer
    x = 81,736.02

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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.