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Finding the Fourth Proportional to 512,114.08, 768,185.16 and 138,136

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Solution

The fourth proportional to 512,114.08, 768,185.16 and 138,136 is: 207,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,114.08 : 768,185.16 = 138,136 : x
  2. Step 2: Convert to fraction form
    512,114.08/768,185.16 = 138,136/x
  3. Step 3: Cross multiply
    512,114.08x = 768,185.16 × 138,136
  4. Step 4: Simplify right side
    512,114.08x = 106,114,025,261.76
  5. Step 5: Solve for x
    x = 106,114,025,261.76/512,114.08
  6. Step 6: Final answer
    x = 207,207.79

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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.