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Finding the Fourth Proportional to 100,758.78, 151,138.17 and 30,638.30

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Solution

The fourth proportional to 100,758.78, 151,138.17 and 30,638.30 is: 45,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758.78 : 151,138.17 = 30,638.30 : x
  2. Step 2: Convert to fraction form
    100,758.78/151,138.17 = 30,638.30/x
  3. Step 3: Cross multiply
    100,758.78x = 151,138.17 × 30,638.30
  4. Step 4: Simplify right side
    100,758.78x = 4,630,615,838.22
  5. Step 5: Solve for x
    x = 4,630,615,838.22/100,758.78
  6. Step 6: Final answer
    x = 45,957.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.