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Finding the Fourth Proportional to 231,360.91, 319,314.15 and 140,745.30

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Solution

The fourth proportional to 231,360.91, 319,314.15 and 140,745.30 is: 194,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,360.91 : 319,314.15 = 140,745.30 : x
  2. Step 2: Convert to fraction form
    231,360.91/319,314.15 = 140,745.30/x
  3. Step 3: Cross multiply
    231,360.91x = 319,314.15 × 140,745.30
  4. Step 4: Simplify right side
    231,360.91x = 44,941,964,638.57
  5. Step 5: Solve for x
    x = 44,941,964,638.57/231,360.91
  6. Step 6: Final answer
    x = 194,250.47

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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.