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Finding the Fourth Proportional to 201,969.90, 278,705.78 and 111,320.87

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Solution

The fourth proportional to 201,969.90, 278,705.78 and 111,320.87 is: 153,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,969.90 : 278,705.78 = 111,320.87 : x
  2. Step 2: Convert to fraction form
    201,969.90/278,705.78 = 111,320.87/x
  3. Step 3: Cross multiply
    201,969.90x = 278,705.78 × 111,320.87
  4. Step 4: Simplify right side
    201,969.90x = 31,025,770,878.70
  5. Step 5: Solve for x
    x = 31,025,770,878.70/201,969.90
  6. Step 6: Final answer
    x = 153,615.82

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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.