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Finding the Fourth Proportional to 166,441.50, 229,690.08 and 90,990

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Solution

The fourth proportional to 166,441.50, 229,690.08 and 90,990 is: 125,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,441.50 : 229,690.08 = 90,990 : x
  2. Step 2: Convert to fraction form
    166,441.50/229,690.08 = 90,990/x
  3. Step 3: Cross multiply
    166,441.50x = 229,690.08 × 90,990
  4. Step 4: Simplify right side
    166,441.50x = 20,899,500,379.20
  5. Step 5: Solve for x
    x = 20,899,500,379.20/166,441.50
  6. Step 6: Final answer
    x = 125,566.64

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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.