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Finding the Fourth Proportional to 201,897.75, 278,624.66 and 112,479.51

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Solution

The fourth proportional to 201,897.75, 278,624.66 and 112,479.51 is: 155,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897.75 : 278,624.66 = 112,479.51 : x
  2. Step 2: Convert to fraction form
    201,897.75/278,624.66 = 112,479.51/x
  3. Step 3: Cross multiply
    201,897.75x = 278,624.66 × 112,479.51
  4. Step 4: Simplify right side
    201,897.75x = 31,339,565,230.72
  5. Step 5: Solve for x
    x = 31,339,565,230.72/201,897.75
  6. Step 6: Final answer
    x = 155,224.94

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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.