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Finding the Fourth Proportional to 265,860.45, 398,866.02 and 108,202.05

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Solution

The fourth proportional to 265,860.45, 398,866.02 and 108,202.05 is: 162,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,860.45 : 398,866.02 = 108,202.05 : x
  2. Step 2: Convert to fraction form
    265,860.45/398,866.02 = 108,202.05/x
  3. Step 3: Cross multiply
    265,860.45x = 398,866.02 × 108,202.05
  4. Step 4: Simplify right side
    265,860.45x = 43,158,121,039.34
  5. Step 5: Solve for x
    x = 43,158,121,039.34/265,860.45
  6. Step 6: Final answer
    x = 162,333.74

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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.