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Finding the Fourth Proportional to 161,343.27, 222,654 and 89,722.65

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Solution

The fourth proportional to 161,343.27, 222,654 and 89,722.65 is: 123,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,343.27 : 222,654 = 89,722.65 : x
  2. Step 2: Convert to fraction form
    161,343.27/222,654 = 89,722.65/x
  3. Step 3: Cross multiply
    161,343.27x = 222,654 × 89,722.65
  4. Step 4: Simplify right side
    161,343.27x = 19,977,106,913.10
  5. Step 5: Solve for x
    x = 19,977,106,913.10/161,343.27
  6. Step 6: Final answer
    x = 123,817.42

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1.5x scale

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.