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Finding the Fourth Proportional to 47,221.84, 65,157.24 and 29,321.20

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Solution

The fourth proportional to 47,221.84, 65,157.24 and 29,321.20 is: 40,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,221.84 : 65,157.24 = 29,321.20 : x
  2. Step 2: Convert to fraction form
    47,221.84/65,157.24 = 29,321.20/x
  3. Step 3: Cross multiply
    47,221.84x = 65,157.24 × 29,321.20
  4. Step 4: Simplify right side
    47,221.84x = 1,910,488,465.49
  5. Step 5: Solve for x
    x = 1,910,488,465.49/47,221.84
  6. Step 6: Final answer
    x = 40,457.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.