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Finding the Fourth Proportional to 201,708.18, 278,354.94 and 111,062.22

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Solution

The fourth proportional to 201,708.18, 278,354.94 and 111,062.22 is: 153,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,708.18 : 278,354.94 = 111,062.22 : x
  2. Step 2: Convert to fraction form
    201,708.18/278,354.94 = 111,062.22/x
  3. Step 3: Cross multiply
    201,708.18x = 278,354.94 × 111,062.22
  4. Step 4: Simplify right side
    201,708.18x = 30,914,717,584.37
  5. Step 5: Solve for x
    x = 30,914,717,584.37/201,708.18
  6. Step 6: Final answer
    x = 153,264.57

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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.