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Finding the Fourth Proportional to 226,506.96, 312,615.72 and 131,071.68

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Solution

The fourth proportional to 226,506.96, 312,615.72 and 131,071.68 is: 180,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,506.96 : 312,615.72 = 131,071.68 : x
  2. Step 2: Convert to fraction form
    226,506.96/312,615.72 = 131,071.68/x
  3. Step 3: Cross multiply
    226,506.96x = 312,615.72 × 131,071.68
  4. Step 4: Simplify right side
    226,506.96x = 40,975,067,614.81
  5. Step 5: Solve for x
    x = 40,975,067,614.81/226,506.96
  6. Step 6: Final answer
    x = 180,899.82

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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.