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Finding the Fourth Proportional to 259,234, 357,742.92 and 140,002

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Solution

The fourth proportional to 259,234, 357,742.92 and 140,002 is: 193,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,234 : 357,742.92 = 140,002 : x
  2. Step 2: Convert to fraction form
    259,234/357,742.92 = 140,002/x
  3. Step 3: Cross multiply
    259,234x = 357,742.92 × 140,002
  4. Step 4: Simplify right side
    259,234x = 50,084,724,285.84
  5. Step 5: Solve for x
    x = 50,084,724,285.84/259,234
  6. Step 6: Final answer
    x = 193,202.76

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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.