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Finding the Fourth Proportional to 231,272.64, 319,158.72 and 135,780.48

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Solution

The fourth proportional to 231,272.64, 319,158.72 and 135,780.48 is: 187,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,272.64 : 319,158.72 = 135,780.48 : x
  2. Step 2: Convert to fraction form
    231,272.64/319,158.72 = 135,780.48/x
  3. Step 3: Cross multiply
    231,272.64x = 319,158.72 × 135,780.48
  4. Step 4: Simplify right side
    231,272.64x = 43,335,524,197.79
  5. Step 5: Solve for x
    x = 43,335,524,197.79/231,272.64
  6. Step 6: Final answer
    x = 187,378.52

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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.