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Finding the Fourth Proportional to 259,300, 357,834.01 and 140,068

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Solution

The fourth proportional to 259,300, 357,834.01 and 140,068 is: 193,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,300 : 357,834.01 = 140,068 : x
  2. Step 2: Convert to fraction form
    259,300/357,834.01 = 140,068/x
  3. Step 3: Cross multiply
    259,300x = 357,834.01 × 140,068
  4. Step 4: Simplify right side
    259,300x = 50,121,094,112.68
  5. Step 5: Solve for x
    x = 50,121,094,112.68/259,300
  6. Step 6: Final answer
    x = 193,293.85

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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.