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Finding the Fourth Proportional to 201,714.64, 278,368.26 and 111,079.03

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Solution

The fourth proportional to 201,714.64, 278,368.26 and 111,079.03 is: 153,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.64 : 278,368.26 = 111,079.03 : x
  2. Step 2: Convert to fraction form
    201,714.64/278,368.26 = 111,079.03/x
  3. Step 3: Cross multiply
    201,714.64x = 278,368.26 × 111,079.03
  4. Step 4: Simplify right side
    201,714.64x = 30,920,876,337.88
  5. Step 5: Solve for x
    x = 30,920,876,337.88/201,714.64
  6. Step 6: Final answer
    x = 153,290.20

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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.