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Finding the Fourth Proportional to 223,724.70, 308,739.98 and 123,122.70

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Solution

The fourth proportional to 223,724.70, 308,739.98 and 123,122.70 is: 169,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,724.70 : 308,739.98 = 123,122.70 : x
  2. Step 2: Convert to fraction form
    223,724.70/308,739.98 = 123,122.70/x
  3. Step 3: Cross multiply
    223,724.70x = 308,739.98 × 123,122.70
  4. Step 4: Simplify right side
    223,724.70x = 38,012,899,935.55
  5. Step 5: Solve for x
    x = 38,012,899,935.55/223,724.70
  6. Step 6: Final answer
    x = 169,909.27

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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.