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Finding the Fourth Proportional to 201,910.67, 278,636.13 and 111,266.60

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Solution

The fourth proportional to 201,910.67, 278,636.13 and 111,266.60 is: 153,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,910.67 : 278,636.13 = 111,266.60 : x
  2. Step 2: Convert to fraction form
    201,910.67/278,636.13 = 111,266.60/x
  3. Step 3: Cross multiply
    201,910.67x = 278,636.13 × 111,266.60
  4. Step 4: Simplify right side
    201,910.67x = 31,002,894,822.26
  5. Step 5: Solve for x
    x = 31,002,894,822.26/201,910.67
  6. Step 6: Final answer
    x = 153,547.58

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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.