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Finding the Fourth Proportional to 226,649.67, 312,787.16 and 131,137.92

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Solution

The fourth proportional to 226,649.67, 312,787.16 and 131,137.92 is: 180,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,649.67 : 312,787.16 = 131,137.92 : x
  2. Step 2: Convert to fraction form
    226,649.67/312,787.16 = 131,137.92/x
  3. Step 3: Cross multiply
    226,649.67x = 312,787.16 × 131,137.92
  4. Step 4: Simplify right side
    226,649.67x = 41,018,257,565.11
  5. Step 5: Solve for x
    x = 41,018,257,565.11/226,649.67
  6. Step 6: Final answer
    x = 180,976.47

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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.