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Finding the Fourth Proportional to 161,705.80, 242,558.70 and 81,989.65

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Solution

The fourth proportional to 161,705.80, 242,558.70 and 81,989.65 is: 122,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,705.80 : 242,558.70 = 81,989.65 : x
  2. Step 2: Convert to fraction form
    161,705.80/242,558.70 = 81,989.65/x
  3. Step 3: Cross multiply
    161,705.80x = 242,558.70 × 81,989.65
  4. Step 4: Simplify right side
    161,705.80x = 19,887,302,917.46
  5. Step 5: Solve for x
    x = 19,887,302,917.46/161,705.80
  6. Step 6: Final answer
    x = 122,984.48

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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.