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Finding the Fourth Proportional to 201,989.21, 278,732.59 and 111,340.49

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Solution

The fourth proportional to 201,989.21, 278,732.59 and 111,340.49 is: 153,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,989.21 : 278,732.59 = 111,340.49 : x
  2. Step 2: Convert to fraction form
    201,989.21/278,732.59 = 111,340.49/x
  3. Step 3: Cross multiply
    201,989.21x = 278,732.59 × 111,340.49
  4. Step 4: Simplify right side
    201,989.21x = 31,034,223,149.57
  5. Step 5: Solve for x
    x = 31,034,223,149.57/201,989.21
  6. Step 6: Final answer
    x = 153,642.98

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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.