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Finding the Fourth Proportional to 150,745.28, 208,018.08 and 83,672

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Solution

The fourth proportional to 150,745.28, 208,018.08 and 83,672 is: 115,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,745.28 : 208,018.08 = 83,672 : x
  2. Step 2: Convert to fraction form
    150,745.28/208,018.08 = 83,672/x
  3. Step 3: Cross multiply
    150,745.28x = 208,018.08 × 83,672
  4. Step 4: Simplify right side
    150,745.28x = 17,405,288,789.76
  5. Step 5: Solve for x
    x = 17,405,288,789.76/150,745.28
  6. Step 6: Final answer
    x = 115,461.58

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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.