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Finding the Fourth Proportional to 120,413, 166,171.64 and 69,424.68

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Solution

The fourth proportional to 120,413, 166,171.64 and 69,424.68 is: 95,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,413 : 166,171.64 = 69,424.68 : x
  2. Step 2: Convert to fraction form
    120,413/166,171.64 = 69,424.68/x
  3. Step 3: Cross multiply
    120,413x = 166,171.64 × 69,424.68
  4. Step 4: Simplify right side
    120,413x = 11,536,412,932.08
  5. Step 5: Solve for x
    x = 11,536,412,932.08/120,413
  6. Step 6: Final answer
    x = 95,807.04

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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.