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Finding the Fourth Proportional to 202,264.29, 279,142.61 and 111,639.87

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Solution

The fourth proportional to 202,264.29, 279,142.61 and 111,639.87 is: 154,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,264.29 : 279,142.61 = 111,639.87 : x
  2. Step 2: Convert to fraction form
    202,264.29/279,142.61 = 111,639.87/x
  3. Step 3: Cross multiply
    202,264.29x = 279,142.61 × 111,639.87
  4. Step 4: Simplify right side
    202,264.29x = 31,163,444,133.66
  5. Step 5: Solve for x
    x = 31,163,444,133.66/202,264.29
  6. Step 6: Final answer
    x = 154,072.89

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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.