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Finding the Fourth Proportional to 265,858.95, 398,863.77 and 108,200.55

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Solution

The fourth proportional to 265,858.95, 398,863.77 and 108,200.55 is: 162,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,858.95 : 398,863.77 = 108,200.55 : x
  2. Step 2: Convert to fraction form
    265,858.95/398,863.77 = 108,200.55/x
  3. Step 3: Cross multiply
    265,858.95x = 398,863.77 × 108,200.55
  4. Step 4: Simplify right side
    265,858.95x = 43,157,279,289.07
  5. Step 5: Solve for x
    x = 43,157,279,289.07/265,858.95
  6. Step 6: Final answer
    x = 162,331.49

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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.