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Finding the Fourth Proportional to 202,455.52, 279,390.72 and 111,813.78

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Solution

The fourth proportional to 202,455.52, 279,390.72 and 111,813.78 is: 154,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,455.52 : 279,390.72 = 111,813.78 : x
  2. Step 2: Convert to fraction form
    202,455.52/279,390.72 = 111,813.78/x
  3. Step 3: Cross multiply
    202,455.52x = 279,390.72 × 111,813.78
  4. Step 4: Simplify right side
    202,455.52x = 31,239,733,338.19
  5. Step 5: Solve for x
    x = 31,239,733,338.19/202,455.52
  6. Step 6: Final answer
    x = 154,304.18

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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.