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Finding the Fourth Proportional to 201,990.72, 278,734.66 and 111,342

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Solution

The fourth proportional to 201,990.72, 278,734.66 and 111,342 is: 153,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,990.72 : 278,734.66 = 111,342 : x
  2. Step 2: Convert to fraction form
    201,990.72/278,734.66 = 111,342/x
  3. Step 3: Cross multiply
    201,990.72x = 278,734.66 × 111,342
  4. Step 4: Simplify right side
    201,990.72x = 31,034,874,235.37
  5. Step 5: Solve for x
    x = 31,034,874,235.37/201,990.72
  6. Step 6: Final answer
    x = 153,645.05

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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.