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Finding the Fourth Proportional to 120,657.78, 166,515.58 and 69,672.66

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Solution

The fourth proportional to 120,657.78, 166,515.58 and 69,672.66 is: 96,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,657.78 : 166,515.58 = 69,672.66 : x
  2. Step 2: Convert to fraction form
    120,657.78/166,515.58 = 69,672.66/x
  3. Step 3: Cross multiply
    120,657.78x = 166,515.58 × 69,672.66
  4. Step 4: Simplify right side
    120,657.78x = 11,601,583,390.04
  5. Step 5: Solve for x
    x = 11,601,583,390.04/120,657.78
  6. Step 6: Final answer
    x = 96,152.80

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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.