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Finding the Fourth Proportional to 202,060.15, 278,837.64 and 111,414.58

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Solution

The fourth proportional to 202,060.15, 278,837.64 and 111,414.58 is: 153,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,060.15 : 278,837.64 = 111,414.58 : x
  2. Step 2: Convert to fraction form
    202,060.15/278,837.64 = 111,414.58/x
  3. Step 3: Cross multiply
    202,060.15x = 278,837.64 × 111,414.58
  4. Step 4: Simplify right side
    202,060.15x = 31,066,577,851.70
  5. Step 5: Solve for x
    x = 31,066,577,851.70/202,060.15
  6. Step 6: Final answer
    x = 153,749.16

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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.