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Finding the Fourth Proportional to 64,493.60, 89,001.60 and 36,201.92

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Solution

The fourth proportional to 64,493.60, 89,001.60 and 36,201.92 is: 49,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493.60 : 89,001.60 = 36,201.92 : x
  2. Step 2: Convert to fraction form
    64,493.60/89,001.60 = 36,201.92/x
  3. Step 3: Cross multiply
    64,493.60x = 89,001.60 × 36,201.92
  4. Step 4: Simplify right side
    64,493.60x = 3,222,028,803.07
  5. Step 5: Solve for x
    x = 3,222,028,803.07/64,493.60
  6. Step 6: Final answer
    x = 49,958.89

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Why These Related Problems?

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