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Finding the Fourth Proportional to 259,907.64, 389,861.17 and 97,831.96

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Solution

The fourth proportional to 259,907.64, 389,861.17 and 97,831.96 is: 146,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,907.64 : 389,861.17 = 97,831.96 : x
  2. Step 2: Convert to fraction form
    259,907.64/389,861.17 = 97,831.96/x
  3. Step 3: Cross multiply
    259,907.64x = 389,861.17 × 97,831.96
  4. Step 4: Simplify right side
    259,907.64x = 38,140,882,388.99
  5. Step 5: Solve for x
    x = 38,140,882,388.99/259,907.64
  6. Step 6: Final answer
    x = 146,747.83

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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.