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Finding the Fourth Proportional to 120,421.78, 166,174.94 and 65,963.12

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Solution

The fourth proportional to 120,421.78, 166,174.94 and 65,963.12 is: 91,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,421.78 : 166,174.94 = 65,963.12 : x
  2. Step 2: Convert to fraction form
    120,421.78/166,174.94 = 65,963.12/x
  3. Step 3: Cross multiply
    120,421.78x = 166,174.94 × 65,963.12
  4. Step 4: Simplify right side
    120,421.78x = 10,961,416,842.25
  5. Step 5: Solve for x
    x = 10,961,416,842.25/120,421.78
  6. Step 6: Final answer
    x = 91,025.20

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1.5x scale

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.