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Finding the Fourth Proportional to 120,664.32, 166,515.48 and 66,948

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Solution

The fourth proportional to 120,664.32, 166,515.48 and 66,948 is: 92,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,664.32 : 166,515.48 = 66,948 : x
  2. Step 2: Convert to fraction form
    120,664.32/166,515.48 = 66,948/x
  3. Step 3: Cross multiply
    120,664.32x = 166,515.48 × 66,948
  4. Step 4: Simplify right side
    120,664.32x = 11,147,878,355.04
  5. Step 5: Solve for x
    x = 11,147,878,355.04/120,664.32
  6. Step 6: Final answer
    x = 92,387.53

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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.