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Finding the Fourth Proportional to 201,862.73, 278,569.23 and 111,216.65

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Solution

The fourth proportional to 201,862.73, 278,569.23 and 111,216.65 is: 153,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.73 : 278,569.23 = 111,216.65 : x
  2. Step 2: Convert to fraction form
    201,862.73/278,569.23 = 111,216.65/x
  3. Step 3: Cross multiply
    201,862.73x = 278,569.23 × 111,216.65
  4. Step 4: Simplify right side
    201,862.73x = 30,981,534,743.77
  5. Step 5: Solve for x
    x = 30,981,534,743.77/201,862.73
  6. Step 6: Final answer
    x = 153,478.23

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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.