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Finding the Fourth Proportional to 151,318, 208,820.28 and 84,251.44

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Solution

The fourth proportional to 151,318, 208,820.28 and 84,251.44 is: 116,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,318 : 208,820.28 = 84,251.44 : x
  2. Step 2: Convert to fraction form
    151,318/208,820.28 = 84,251.44/x
  3. Step 3: Cross multiply
    151,318x = 208,820.28 × 84,251.44
  4. Step 4: Simplify right side
    151,318x = 17,593,409,291.20
  5. Step 5: Solve for x
    x = 17,593,409,291.20/151,318
  6. Step 6: Final answer
    x = 116,267.79

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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.