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Finding the Fourth Proportional to 223,892, 308,970.96 and 123,290

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Solution

The fourth proportional to 223,892, 308,970.96 and 123,290 is: 170,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,892 : 308,970.96 = 123,290 : x
  2. Step 2: Convert to fraction form
    223,892/308,970.96 = 123,290/x
  3. Step 3: Cross multiply
    223,892x = 308,970.96 × 123,290
  4. Step 4: Simplify right side
    223,892x = 38,093,029,658.40
  5. Step 5: Solve for x
    x = 38,093,029,658.40/223,892
  6. Step 6: Final answer
    x = 170,140.20

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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.