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Finding the Fourth Proportional to 120,468, 166,248.24 and 70,170.24

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Solution

The fourth proportional to 120,468, 166,248.24 and 70,170.24 is: 96,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,468 : 166,248.24 = 70,170.24 : x
  2. Step 2: Convert to fraction form
    120,468/166,248.24 = 70,170.24/x
  3. Step 3: Cross multiply
    120,468x = 166,248.24 × 70,170.24
  4. Step 4: Simplify right side
    120,468x = 11,665,678,900.38
  5. Step 5: Solve for x
    x = 11,665,678,900.38/120,468
  6. Step 6: Final answer
    x = 96,836.33

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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.