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Finding the Fourth Proportional to 161,709.80, 242,564.70 and 81,993.65

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Solution

The fourth proportional to 161,709.80, 242,564.70 and 81,993.65 is: 122,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709.80 : 242,564.70 = 81,993.65 : x
  2. Step 2: Convert to fraction form
    161,709.80/242,564.70 = 81,993.65/x
  3. Step 3: Cross multiply
    161,709.80x = 242,564.70 × 81,993.65
  4. Step 4: Simplify right side
    161,709.80x = 19,888,765,114.16
  5. Step 5: Solve for x
    x = 19,888,765,114.16/161,709.80
  6. Step 6: Final answer
    x = 122,990.48

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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.