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Finding the Fourth Proportional to 217,187.80, 325,814.10 and 76,935.40

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Solution

The fourth proportional to 217,187.80, 325,814.10 and 76,935.40 is: 115,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,187.80 : 325,814.10 = 76,935.40 : x
  2. Step 2: Convert to fraction form
    217,187.80/325,814.10 = 76,935.40/x
  3. Step 3: Cross multiply
    217,187.80x = 325,814.10 × 76,935.40
  4. Step 4: Simplify right side
    217,187.80x = 25,066,638,109.14
  5. Step 5: Solve for x
    x = 25,066,638,109.14/217,187.80
  6. Step 6: Final answer
    x = 115,414.58

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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.