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Finding the Fourth Proportional to 229,605.52, 344,442.84 and 81,850

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Solution

The fourth proportional to 229,605.52, 344,442.84 and 81,850 is: 122,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,605.52 : 344,442.84 = 81,850 : x
  2. Step 2: Convert to fraction form
    229,605.52/344,442.84 = 81,850/x
  3. Step 3: Cross multiply
    229,605.52x = 344,442.84 × 81,850
  4. Step 4: Simplify right side
    229,605.52x = 28,192,646,454.00
  5. Step 5: Solve for x
    x = 28,192,646,454.00/229,605.52
  6. Step 6: Final answer
    x = 122,787.32

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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.