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Finding the Fourth Proportional to 231,326.64, 319,233.24 and 135,834.48

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Solution

The fourth proportional to 231,326.64, 319,233.24 and 135,834.48 is: 187,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,326.64 : 319,233.24 = 135,834.48 : x
  2. Step 2: Convert to fraction form
    231,326.64/319,233.24 = 135,834.48/x
  3. Step 3: Cross multiply
    231,326.64x = 319,233.24 × 135,834.48
  4. Step 4: Simplify right side
    231,326.64x = 43,362,881,154.12
  5. Step 5: Solve for x
    x = 43,362,881,154.12/231,326.64
  6. Step 6: Final answer
    x = 187,453.04

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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.