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Finding the Fourth Proportional to 202,870.51, 279,956.23 and 112,231.51

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Solution

The fourth proportional to 202,870.51, 279,956.23 and 112,231.51 is: 154,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,870.51 : 279,956.23 = 112,231.51 : x
  2. Step 2: Convert to fraction form
    202,870.51/279,956.23 = 112,231.51/x
  3. Step 3: Cross multiply
    202,870.51x = 279,956.23 × 112,231.51
  4. Step 4: Simplify right side
    202,870.51x = 31,419,910,426.81
  5. Step 5: Solve for x
    x = 31,419,910,426.81/202,870.51
  6. Step 6: Final answer
    x = 154,876.68

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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.