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Finding the Fourth Proportional to 154,144, 231,216.06 and 43,336

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Solution

The fourth proportional to 154,144, 231,216.06 and 43,336 is: 65,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,144 : 231,216.06 = 43,336 : x
  2. Step 2: Convert to fraction form
    154,144/231,216.06 = 43,336/x
  3. Step 3: Cross multiply
    154,144x = 231,216.06 × 43,336
  4. Step 4: Simplify right side
    154,144x = 10,019,979,176.16
  5. Step 5: Solve for x
    x = 10,019,979,176.16/154,144
  6. Step 6: Final answer
    x = 65,004.02

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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.