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Finding the Fourth Proportional to 120,728.09, 166,612.33 and 67,014

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Solution

The fourth proportional to 120,728.09, 166,612.33 and 67,014 is: 92,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728.09 : 166,612.33 = 67,014 : x
  2. Step 2: Convert to fraction form
    120,728.09/166,612.33 = 67,014/x
  3. Step 3: Cross multiply
    120,728.09x = 166,612.33 × 67,014
  4. Step 4: Simplify right side
    120,728.09x = 11,165,358,347.55
  5. Step 5: Solve for x
    x = 11,165,358,347.55/120,728.09
  6. Step 6: Final answer
    x = 92,483.52

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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.