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Finding the Fourth Proportional to 120,874.16, 166,780.68 and 70,550.48

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Solution

The fourth proportional to 120,874.16, 166,780.68 and 70,550.48 is: 97,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,874.16 : 166,780.68 = 70,550.48 : x
  2. Step 2: Convert to fraction form
    120,874.16/166,780.68 = 70,550.48/x
  3. Step 3: Cross multiply
    120,874.16x = 166,780.68 × 70,550.48
  4. Step 4: Simplify right side
    120,874.16x = 11,766,457,028.73
  5. Step 5: Solve for x
    x = 11,766,457,028.73/120,874.16
  6. Step 6: Final answer
    x = 97,344.68

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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.