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Finding the Fourth Proportional to 64,970.75, 97,469.89 and 20,591.66

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Solution

The fourth proportional to 64,970.75, 97,469.89 and 20,591.66 is: 30,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.75 : 97,469.89 = 20,591.66 : x
  2. Step 2: Convert to fraction form
    64,970.75/97,469.89 = 20,591.66/x
  3. Step 3: Cross multiply
    64,970.75x = 97,469.89 × 20,591.66
  4. Step 4: Simplify right side
    64,970.75x = 2,007,066,296.29
  5. Step 5: Solve for x
    x = 2,007,066,296.29/64,970.75
  6. Step 6: Final answer
    x = 30,891.85

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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.