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Finding the Fourth Proportional to 202,509.92, 279,458.27 and 111,863.93

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Solution

The fourth proportional to 202,509.92, 279,458.27 and 111,863.93 is: 154,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,509.92 : 279,458.27 = 111,863.93 : x
  2. Step 2: Convert to fraction form
    202,509.92/279,458.27 = 111,863.93/x
  3. Step 3: Cross multiply
    202,509.92x = 279,458.27 × 111,863.93
  4. Step 4: Simplify right side
    202,509.92x = 31,261,300,388.03
  5. Step 5: Solve for x
    x = 31,261,300,388.03/202,509.92
  6. Step 6: Final answer
    x = 154,369.23

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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.