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Finding the Fourth Proportional to 64,611, 89,168.65 and 36,322.16

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Solution

The fourth proportional to 64,611, 89,168.65 and 36,322.16 is: 50,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,611 : 89,168.65 = 36,322.16 : x
  2. Step 2: Convert to fraction form
    64,611/89,168.65 = 36,322.16/x
  3. Step 3: Cross multiply
    64,611x = 89,168.65 × 36,322.16
  4. Step 4: Simplify right side
    64,611x = 3,238,797,435.64
  5. Step 5: Solve for x
    x = 3,238,797,435.64/64,611
  6. Step 6: Final answer
    x = 50,127.65

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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.