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Finding the Fourth Proportional to 201,742.65, 278,404.90 and 111,098.39

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Solution

The fourth proportional to 201,742.65, 278,404.90 and 111,098.39 is: 153,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.65 : 278,404.90 = 111,098.39 : x
  2. Step 2: Convert to fraction form
    201,742.65/278,404.90 = 111,098.39/x
  3. Step 3: Cross multiply
    201,742.65x = 278,404.90 × 111,098.39
  4. Step 4: Simplify right side
    201,742.65x = 30,930,334,488.34
  5. Step 5: Solve for x
    x = 30,930,334,488.34/201,742.65
  6. Step 6: Final answer
    x = 153,315.79

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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.