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Finding the Fourth Proportional to 202,143.64, 278,959.54 and 111,502.04

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Solution

The fourth proportional to 202,143.64, 278,959.54 and 111,502.04 is: 153,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143.64 : 278,959.54 = 111,502.04 : x
  2. Step 2: Convert to fraction form
    202,143.64/278,959.54 = 111,502.04/x
  3. Step 3: Cross multiply
    202,143.64x = 278,959.54 × 111,502.04
  4. Step 4: Simplify right side
    202,143.64x = 31,104,557,787.46
  5. Step 5: Solve for x
    x = 31,104,557,787.46/202,143.64
  6. Step 6: Final answer
    x = 153,873.54

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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.