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Finding the Fourth Proportional to 120,840.32, 166,756.20 and 67,124

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Solution

The fourth proportional to 120,840.32, 166,756.20 and 67,124 is: 92,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,840.32 : 166,756.20 = 67,124 : x
  2. Step 2: Convert to fraction form
    120,840.32/166,756.20 = 67,124/x
  3. Step 3: Cross multiply
    120,840.32x = 166,756.20 × 67,124
  4. Step 4: Simplify right side
    120,840.32x = 11,193,343,168.80
  5. Step 5: Solve for x
    x = 11,193,343,168.80/120,840.32
  6. Step 6: Final answer
    x = 92,629.21

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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.