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Finding the Fourth Proportional to 231,851.34, 319,948.70 and 136,363.88

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Solution

The fourth proportional to 231,851.34, 319,948.70 and 136,363.88 is: 188,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,851.34 : 319,948.70 = 136,363.88 : x
  2. Step 2: Convert to fraction form
    231,851.34/319,948.70 = 136,363.88/x
  3. Step 3: Cross multiply
    231,851.34x = 319,948.70 × 136,363.88
  4. Step 4: Simplify right side
    231,851.34x = 43,629,446,132.96
  5. Step 5: Solve for x
    x = 43,629,446,132.96/231,851.34
  6. Step 6: Final answer
    x = 188,178.54

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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.