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Finding the Fourth Proportional to 512,117.08, 768,189.66 and 138,139

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Solution

The fourth proportional to 512,117.08, 768,189.66 and 138,139 is: 207,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,117.08 : 768,189.66 = 138,139 : x
  2. Step 2: Convert to fraction form
    512,117.08/768,189.66 = 138,139/x
  3. Step 3: Cross multiply
    512,117.08x = 768,189.66 × 138,139
  4. Step 4: Simplify right side
    512,117.08x = 106,116,951,442.74
  5. Step 5: Solve for x
    x = 106,116,951,442.74/512,117.08
  6. Step 6: Final answer
    x = 207,212.29

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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.