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Finding the Fourth Proportional to 202,318.81, 279,199.98 and 111,674.80

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Solution

The fourth proportional to 202,318.81, 279,199.98 and 111,674.80 is: 154,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,318.81 : 279,199.98 = 111,674.80 : x
  2. Step 2: Convert to fraction form
    202,318.81/279,199.98 = 111,674.80/x
  3. Step 3: Cross multiply
    202,318.81x = 279,199.98 × 111,674.80
  4. Step 4: Simplify right side
    202,318.81x = 31,179,601,926.50
  5. Step 5: Solve for x
    x = 31,179,601,926.50/202,318.81
  6. Step 6: Final answer
    x = 154,111.24

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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.