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Finding the Fourth Proportional to 231,712.80, 319,768.52 and 131,110.80

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Solution

The fourth proportional to 231,712.80, 319,768.52 and 131,110.80 is: 180,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,712.80 : 319,768.52 = 131,110.80 : x
  2. Step 2: Convert to fraction form
    231,712.80/319,768.52 = 131,110.80/x
  3. Step 3: Cross multiply
    231,712.80x = 319,768.52 × 131,110.80
  4. Step 4: Simplify right side
    231,712.80x = 41,925,106,472.02
  5. Step 5: Solve for x
    x = 41,925,106,472.02/231,712.80
  6. Step 6: Final answer
    x = 180,935.65

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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.