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Finding the Fourth Proportional to 202,117, 278,917.68 and 111,481.42

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Solution

The fourth proportional to 202,117, 278,917.68 and 111,481.42 is: 153,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,117 : 278,917.68 = 111,481.42 : x
  2. Step 2: Convert to fraction form
    202,117/278,917.68 = 111,481.42/x
  3. Step 3: Cross multiply
    202,117x = 278,917.68 × 111,481.42
  4. Step 4: Simplify right side
    202,117x = 31,094,139,029.51
  5. Step 5: Solve for x
    x = 31,094,139,029.51/202,117
  6. Step 6: Final answer
    x = 153,842.27

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1.5x scale

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.