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Finding the Fourth Proportional to 231,682.64, 319,647.72 and 129,693.12

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Solution

The fourth proportional to 231,682.64, 319,647.72 and 129,693.12 is: 178,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,682.64 : 319,647.72 = 129,693.12 : x
  2. Step 2: Convert to fraction form
    231,682.64/319,647.72 = 129,693.12/x
  3. Step 3: Cross multiply
    231,682.64x = 319,647.72 × 129,693.12
  4. Step 4: Simplify right side
    231,682.64x = 41,456,110,107.69
  5. Step 5: Solve for x
    x = 41,456,110,107.69/231,682.64
  6. Step 6: Final answer
    x = 178,934.90

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1.5x scale

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.