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Finding the Fourth Proportional to 120,648.60, 166,509.44 and 69,673.76

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Solution

The fourth proportional to 120,648.60, 166,509.44 and 69,673.76 is: 96,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,648.60 : 166,509.44 = 69,673.76 : x
  2. Step 2: Convert to fraction form
    120,648.60/166,509.44 = 69,673.76/x
  3. Step 3: Cross multiply
    120,648.60x = 166,509.44 × 69,673.76
  4. Step 4: Simplify right side
    120,648.60x = 11,601,338,760.29
  5. Step 5: Solve for x
    x = 11,601,338,760.29/120,648.60
  6. Step 6: Final answer
    x = 96,158.09

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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.