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Finding the Fourth Proportional to 512,001.75, 768,002.64 and 138,024.75

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Solution

The fourth proportional to 512,001.75, 768,002.64 and 138,024.75 is: 207,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,001.75 : 768,002.64 = 138,024.75 : x
  2. Step 2: Convert to fraction form
    512,001.75/768,002.64 = 138,024.75/x
  3. Step 3: Cross multiply
    512,001.75x = 768,002.64 × 138,024.75
  4. Step 4: Simplify right side
    512,001.75x = 106,003,372,385.34
  5. Step 5: Solve for x
    x = 106,003,372,385.34/512,001.75
  6. Step 6: Final answer
    x = 207,037.13

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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.