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Finding the Fourth Proportional to 217,495.16, 300,123.18 and 121,983.44

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Solution

The fourth proportional to 217,495.16, 300,123.18 and 121,983.44 is: 168,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,495.16 : 300,123.18 = 121,983.44 : x
  2. Step 2: Convert to fraction form
    217,495.16/300,123.18 = 121,983.44/x
  3. Step 3: Cross multiply
    217,495.16x = 300,123.18 × 121,983.44
  4. Step 4: Simplify right side
    217,495.16x = 36,610,057,920.14
  5. Step 5: Solve for x
    x = 36,610,057,920.14/217,495.16
  6. Step 6: Final answer
    x = 168,325.85

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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.