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Finding the Fourth Proportional to 201,967.96, 278,714.40 and 111,324

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Solution

The fourth proportional to 201,967.96, 278,714.40 and 111,324 is: 153,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,967.96 : 278,714.40 = 111,324 : x
  2. Step 2: Convert to fraction form
    201,967.96/278,714.40 = 111,324/x
  3. Step 3: Cross multiply
    201,967.96x = 278,714.40 × 111,324
  4. Step 4: Simplify right side
    201,967.96x = 31,027,601,865.60
  5. Step 5: Solve for x
    x = 31,027,601,865.60/201,967.96
  6. Step 6: Final answer
    x = 153,626.36

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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.