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Finding the Fourth Proportional to 64,231.60, 96,345.60 and 29,171.20

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Solution

The fourth proportional to 64,231.60, 96,345.60 and 29,171.20 is: 43,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,231.60 : 96,345.60 = 29,171.20 : x
  2. Step 2: Convert to fraction form
    64,231.60/96,345.60 = 29,171.20/x
  3. Step 3: Cross multiply
    64,231.60x = 96,345.60 × 29,171.20
  4. Step 4: Simplify right side
    64,231.60x = 2,810,516,766.72
  5. Step 5: Solve for x
    x = 2,810,516,766.72/64,231.60
  6. Step 6: Final answer
    x = 43,755.98

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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.