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Finding the Fourth Proportional to 231,801.68, 319,849.76 and 135,021.46

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Solution

The fourth proportional to 231,801.68, 319,849.76 and 135,021.46 is: 186,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,801.68 : 319,849.76 = 135,021.46 : x
  2. Step 2: Convert to fraction form
    231,801.68/319,849.76 = 135,021.46/x
  3. Step 3: Cross multiply
    231,801.68x = 319,849.76 × 135,021.46
  4. Step 4: Simplify right side
    231,801.68x = 43,186,581,575.85
  5. Step 5: Solve for x
    x = 43,186,581,575.85/231,801.68
  6. Step 6: Final answer
    x = 186,308.32

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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.