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Finding the Fourth Proportional to 475,086.52, 712,629.78 and 120,100.54

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Solution

The fourth proportional to 475,086.52, 712,629.78 and 120,100.54 is: 180,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,086.52 : 712,629.78 = 120,100.54 : x
  2. Step 2: Convert to fraction form
    475,086.52/712,629.78 = 120,100.54/x
  3. Step 3: Cross multiply
    475,086.52x = 712,629.78 × 120,100.54
  4. Step 4: Simplify right side
    475,086.52x = 85,587,221,398.08
  5. Step 5: Solve for x
    x = 85,587,221,398.08/475,086.52
  6. Step 6: Final answer
    x = 180,150.81

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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.