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Finding the Fourth Proportional to 65,198.90, 97,803.76 and 20,831.96

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Solution

The fourth proportional to 65,198.90, 97,803.76 and 20,831.96 is: 31,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.90 : 97,803.76 = 20,831.96 : x
  2. Step 2: Convert to fraction form
    65,198.90/97,803.76 = 20,831.96/x
  3. Step 3: Cross multiply
    65,198.90x = 97,803.76 × 20,831.96
  4. Step 4: Simplify right side
    65,198.90x = 2,037,444,016.17
  5. Step 5: Solve for x
    x = 2,037,444,016.17/65,198.90
  6. Step 6: Final answer
    x = 31,249.67

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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.