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Finding the Fourth Proportional to 64,781.41, 97,167.43 and 20,420.86

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Solution

The fourth proportional to 64,781.41, 97,167.43 and 20,420.86 is: 30,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,781.41 : 97,167.43 = 20,420.86 : x
  2. Step 2: Convert to fraction form
    64,781.41/97,167.43 = 20,420.86/x
  3. Step 3: Cross multiply
    64,781.41x = 97,167.43 × 20,420.86
  4. Step 4: Simplify right side
    64,781.41x = 1,984,242,484.59
  5. Step 5: Solve for x
    x = 1,984,242,484.59/64,781.41
  6. Step 6: Final answer
    x = 30,629.81

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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.