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Finding the Fourth Proportional to 161,977.50, 243,005.22 and 51,169.50

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Solution

The fourth proportional to 161,977.50, 243,005.22 and 51,169.50 is: 76,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,977.50 : 243,005.22 = 51,169.50 : x
  2. Step 2: Convert to fraction form
    161,977.50/243,005.22 = 51,169.50/x
  3. Step 3: Cross multiply
    161,977.50x = 243,005.22 × 51,169.50
  4. Step 4: Simplify right side
    161,977.50x = 12,434,455,604.79
  5. Step 5: Solve for x
    x = 12,434,455,604.79/161,977.50
  6. Step 6: Final answer
    x = 76,766.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.