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Finding the Fourth Proportional to 151,381.38, 208,906.31 and 84,313.38

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Solution

The fourth proportional to 151,381.38, 208,906.31 and 84,313.38 is: 116,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,381.38 : 208,906.31 = 84,313.38 : x
  2. Step 2: Convert to fraction form
    151,381.38/208,906.31 = 84,313.38/x
  3. Step 3: Cross multiply
    151,381.38x = 208,906.31 × 84,313.38
  4. Step 4: Simplify right side
    151,381.38x = 17,613,597,099.43
  5. Step 5: Solve for x
    x = 17,613,597,099.43/151,381.38
  6. Step 6: Final answer
    x = 116,352.47

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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.