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Finding the Fourth Proportional to 213,234, 294,288.84 and 123,810

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Solution

The fourth proportional to 213,234, 294,288.84 and 123,810 is: 170,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,234 : 294,288.84 = 123,810 : x
  2. Step 2: Convert to fraction form
    213,234/294,288.84 = 123,810/x
  3. Step 3: Cross multiply
    213,234x = 294,288.84 × 123,810
  4. Step 4: Simplify right side
    213,234x = 36,435,901,280.40
  5. Step 5: Solve for x
    x = 36,435,901,280.40/213,234
  6. Step 6: Final answer
    x = 170,872.85

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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.