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Finding the Fourth Proportional to 259,891.30, 358,646.10 and 145,171.54

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Solution

The fourth proportional to 259,891.30, 358,646.10 and 145,171.54 is: 200,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,891.30 : 358,646.10 = 145,171.54 : x
  2. Step 2: Convert to fraction form
    259,891.30/358,646.10 = 145,171.54/x
  3. Step 3: Cross multiply
    259,891.30x = 358,646.10 × 145,171.54
  4. Step 4: Simplify right side
    259,891.30x = 52,065,206,651.99
  5. Step 5: Solve for x
    x = 52,065,206,651.99/259,891.30
  6. Step 6: Final answer
    x = 200,334.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.