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Finding the Fourth Proportional to 201,925.33, 278,658.86 and 111,284.56

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Solution

The fourth proportional to 201,925.33, 278,658.86 and 111,284.56 is: 153,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,925.33 : 278,658.86 = 111,284.56 : x
  2. Step 2: Convert to fraction form
    201,925.33/278,658.86 = 111,284.56/x
  3. Step 3: Cross multiply
    201,925.33x = 278,658.86 × 111,284.56
  4. Step 4: Simplify right side
    201,925.33x = 31,010,428,625.20
  5. Step 5: Solve for x
    x = 31,010,428,625.20/201,925.33
  6. Step 6: Final answer
    x = 153,573.74

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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.