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Finding the Fourth Proportional to 223,702.65, 308,709.54 and 123,100.65

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Solution

The fourth proportional to 223,702.65, 308,709.54 and 123,100.65 is: 169,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,702.65 : 308,709.54 = 123,100.65 : x
  2. Step 2: Convert to fraction form
    223,702.65/308,709.54 = 123,100.65/x
  3. Step 3: Cross multiply
    223,702.65x = 308,709.54 × 123,100.65
  4. Step 4: Simplify right side
    223,702.65x = 38,002,345,035.20
  5. Step 5: Solve for x
    x = 38,002,345,035.20/223,702.65
  6. Step 6: Final answer
    x = 169,878.83

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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.