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Finding the Fourth Proportional to 259,254.25, 357,771 and 140,022.25

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Solution

The fourth proportional to 259,254.25, 357,771 and 140,022.25 is: 193,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,254.25 : 357,771 = 140,022.25 : x
  2. Step 2: Convert to fraction form
    259,254.25/357,771 = 140,022.25/x
  3. Step 3: Cross multiply
    259,254.25x = 357,771 × 140,022.25
  4. Step 4: Simplify right side
    259,254.25x = 50,095,900,404.75
  5. Step 5: Solve for x
    x = 50,095,900,404.75/259,254.25
  6. Step 6: Final answer
    x = 193,230.78

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1.5x scale

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.