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Finding the Fourth Proportional to 227,357.29, 340,942.12 and 77,609.66

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Solution

The fourth proportional to 227,357.29, 340,942.12 and 77,609.66 is: 116,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,357.29 : 340,942.12 = 77,609.66 : x
  2. Step 2: Convert to fraction form
    227,357.29/340,942.12 = 77,609.66/x
  3. Step 3: Cross multiply
    227,357.29x = 340,942.12 × 77,609.66
  4. Step 4: Simplify right side
    227,357.29x = 26,460,400,308.17
  5. Step 5: Solve for x
    x = 26,460,400,308.17/227,357.29
  6. Step 6: Final answer
    x = 116,382.46

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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.