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Finding the Fourth Proportional to 223,715.49, 308,727.42 and 123,113.49

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Solution

The fourth proportional to 223,715.49, 308,727.42 and 123,113.49 is: 169,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,715.49 : 308,727.42 = 123,113.49 : x
  2. Step 2: Convert to fraction form
    223,715.49/308,727.42 = 123,113.49/x
  3. Step 3: Cross multiply
    223,715.49x = 308,727.42 × 123,113.49
  4. Step 4: Simplify right side
    223,715.49x = 38,008,510,134.90
  5. Step 5: Solve for x
    x = 38,008,510,134.90/223,715.49
  6. Step 6: Final answer
    x = 169,896.64

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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.