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Finding the Fourth Proportional to 201,972.90, 278,709.92 and 111,323.88

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Solution

The fourth proportional to 201,972.90, 278,709.92 and 111,323.88 is: 153,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,972.90 : 278,709.92 = 111,323.88 : x
  2. Step 2: Convert to fraction form
    201,972.90/278,709.92 = 111,323.88/x
  3. Step 3: Cross multiply
    201,972.90x = 278,709.92 × 111,323.88
  4. Step 4: Simplify right side
    201,972.90x = 31,027,069,132.27
  5. Step 5: Solve for x
    x = 31,027,069,132.27/201,972.90
  6. Step 6: Final answer
    x = 153,619.96

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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.