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Finding the Fourth Proportional to 226,671.68, 312,787.64 and 131,184.30

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Solution

The fourth proportional to 226,671.68, 312,787.64 and 131,184.30 is: 181,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,671.68 : 312,787.64 = 131,184.30 : x
  2. Step 2: Convert to fraction form
    226,671.68/312,787.64 = 131,184.30/x
  3. Step 3: Cross multiply
    226,671.68x = 312,787.64 × 131,184.30
  4. Step 4: Simplify right side
    226,671.68x = 41,032,827,602.05
  5. Step 5: Solve for x
    x = 41,032,827,602.05/226,671.68
  6. Step 6: Final answer
    x = 181,023.18

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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.