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Finding the Fourth Proportional to 64,938.48, 97,422.48 and 20,568

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Solution

The fourth proportional to 64,938.48, 97,422.48 and 20,568 is: 30,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,938.48 : 97,422.48 = 20,568 : x
  2. Step 2: Convert to fraction form
    64,938.48/97,422.48 = 20,568/x
  3. Step 3: Cross multiply
    64,938.48x = 97,422.48 × 20,568
  4. Step 4: Simplify right side
    64,938.48x = 2,003,785,568.64
  5. Step 5: Solve for x
    x = 2,003,785,568.64/64,938.48
  6. Step 6: Final answer
    x = 30,856.67

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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.