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Finding the Fourth Proportional to 201,442.36, 278,062.77 and 119,770.42

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Solution

The fourth proportional to 201,442.36, 278,062.77 and 119,770.42 is: 165,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,442.36 : 278,062.77 = 119,770.42 : x
  2. Step 2: Convert to fraction form
    201,442.36/278,062.77 = 119,770.42/x
  3. Step 3: Cross multiply
    201,442.36x = 278,062.77 × 119,770.42
  4. Step 4: Simplify right side
    201,442.36x = 33,303,693,749.34
  5. Step 5: Solve for x
    x = 33,303,693,749.34/201,442.36
  6. Step 6: Final answer
    x = 165,326.17

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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.