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Finding the Fourth Proportional to 64,812.78, 97,212.42 and 20,438.28

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Solution

The fourth proportional to 64,812.78, 97,212.42 and 20,438.28 is: 30,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,812.78 : 97,212.42 = 20,438.28 : x
  2. Step 2: Convert to fraction form
    64,812.78/97,212.42 = 20,438.28/x
  3. Step 3: Cross multiply
    64,812.78x = 97,212.42 × 20,438.28
  4. Step 4: Simplify right side
    64,812.78x = 1,986,854,659.44
  5. Step 5: Solve for x
    x = 1,986,854,659.44/64,812.78
  6. Step 6: Final answer
    x = 30,655.29

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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.