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Finding the Fourth Proportional to 265,998, 399,072 and 108,339.60

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Solution

The fourth proportional to 265,998, 399,072 and 108,339.60 is: 162,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,998 : 399,072 = 108,339.60 : x
  2. Step 2: Convert to fraction form
    265,998/399,072 = 108,339.60/x
  3. Step 3: Cross multiply
    265,998x = 399,072 × 108,339.60
  4. Step 4: Simplify right side
    265,998x = 43,235,300,851.20
  5. Step 5: Solve for x
    x = 43,235,300,851.20/265,998
  6. Step 6: Final answer
    x = 162,539.95

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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.