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Finding the Fourth Proportional to 202,103.78, 278,916 and 111,459.92

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Solution

The fourth proportional to 202,103.78, 278,916 and 111,459.92 is: 153,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,103.78 : 278,916 = 111,459.92 : x
  2. Step 2: Convert to fraction form
    202,103.78/278,916 = 111,459.92/x
  3. Step 3: Cross multiply
    202,103.78x = 278,916 × 111,459.92
  4. Step 4: Simplify right side
    202,103.78x = 31,087,953,652.14
  5. Step 5: Solve for x
    x = 31,087,953,652.14/202,103.78
  6. Step 6: Final answer
    x = 153,821.74

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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.