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Finding the Fourth Proportional to 64,668.96, 89,244.36 and 35,991

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Solution

The fourth proportional to 64,668.96, 89,244.36 and 35,991 is: 49,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,668.96 : 89,244.36 = 35,991 : x
  2. Step 2: Convert to fraction form
    64,668.96/89,244.36 = 35,991/x
  3. Step 3: Cross multiply
    64,668.96x = 89,244.36 × 35,991
  4. Step 4: Simplify right side
    64,668.96x = 3,211,993,760.76
  5. Step 5: Solve for x
    x = 3,211,993,760.76/64,668.96
  6. Step 6: Final answer
    x = 49,668.25

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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.