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Finding the Fourth Proportional to 231,071.80, 346,761.30 and 131,231.80

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Solution

The fourth proportional to 231,071.80, 346,761.30 and 131,231.80 is: 196,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,071.80 : 346,761.30 = 131,231.80 : x
  2. Step 2: Convert to fraction form
    231,071.80/346,761.30 = 131,231.80/x
  3. Step 3: Cross multiply
    231,071.80x = 346,761.30 × 131,231.80
  4. Step 4: Simplify right side
    231,071.80x = 45,506,109,569.34
  5. Step 5: Solve for x
    x = 45,506,109,569.34/231,071.80
  6. Step 6: Final answer
    x = 196,934.93

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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.