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Finding the Fourth Proportional to 131,791.96, 197,686.14 and 31,953

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Solution

The fourth proportional to 131,791.96, 197,686.14 and 31,953 is: 47,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,791.96 : 197,686.14 = 31,953 : x
  2. Step 2: Convert to fraction form
    131,791.96/197,686.14 = 31,953/x
  3. Step 3: Cross multiply
    131,791.96x = 197,686.14 × 31,953
  4. Step 4: Simplify right side
    131,791.96x = 6,316,665,231.42
  5. Step 5: Solve for x
    x = 6,316,665,231.42/131,791.96
  6. Step 6: Final answer
    x = 47,929.06

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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.