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Finding the Fourth Proportional to 223,702.23, 308,709.11 and 123,100.23

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Solution

The fourth proportional to 223,702.23, 308,709.11 and 123,100.23 is: 169,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,702.23 : 308,709.11 = 123,100.23 : x
  2. Step 2: Convert to fraction form
    223,702.23/308,709.11 = 123,100.23/x
  3. Step 3: Cross multiply
    223,702.23x = 308,709.11 × 123,100.23
  4. Step 4: Simplify right side
    223,702.23x = 38,002,162,751.85
  5. Step 5: Solve for x
    x = 38,002,162,751.85/223,702.23
  6. Step 6: Final answer
    x = 169,878.34

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1.5x scale

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.