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Finding the Fourth Proportional to 151,381, 208,905.78 and 84,313

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Solution

The fourth proportional to 151,381, 208,905.78 and 84,313 is: 116,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,381 : 208,905.78 = 84,313 : x
  2. Step 2: Convert to fraction form
    151,381/208,905.78 = 84,313/x
  3. Step 3: Cross multiply
    151,381x = 208,905.78 × 84,313
  4. Step 4: Simplify right side
    151,381x = 17,613,473,029.14
  5. Step 5: Solve for x
    x = 17,613,473,029.14/151,381
  6. Step 6: Final answer
    x = 116,351.94

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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.