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Finding the Fourth Proportional to 231,642.84, 347,467.92 and 91,400.25

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Solution

The fourth proportional to 231,642.84, 347,467.92 and 91,400.25 is: 137,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,642.84 : 347,467.92 = 91,400.25 : x
  2. Step 2: Convert to fraction form
    231,642.84/347,467.92 = 91,400.25/x
  3. Step 3: Cross multiply
    231,642.84x = 347,467.92 × 91,400.25
  4. Step 4: Simplify right side
    231,642.84x = 31,758,654,754.98
  5. Step 5: Solve for x
    x = 31,758,654,754.98/231,642.84
  6. Step 6: Final answer
    x = 137,101.82

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1.5x scale

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.