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Finding the Fourth Proportional to 65,201.43, 97,820.70 and 20,831.64

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Solution

The fourth proportional to 65,201.43, 97,820.70 and 20,831.64 is: 31,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.43 : 97,820.70 = 20,831.64 : x
  2. Step 2: Convert to fraction form
    65,201.43/97,820.70 = 20,831.64/x
  3. Step 3: Cross multiply
    65,201.43x = 97,820.70 × 20,831.64
  4. Step 4: Simplify right side
    65,201.43x = 2,037,765,606.95
  5. Step 5: Solve for x
    x = 2,037,765,606.95/65,201.43
  6. Step 6: Final answer
    x = 31,253.39

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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.