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Finding the Fourth Proportional to 84,174.84, 116,024.92 and 73,245

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Solution

The fourth proportional to 84,174.84, 116,024.92 and 73,245 is: 100,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174.84 : 116,024.92 = 73,245 : x
  2. Step 2: Convert to fraction form
    84,174.84/116,024.92 = 73,245/x
  3. Step 3: Cross multiply
    84,174.84x = 116,024.92 × 73,245
  4. Step 4: Simplify right side
    84,174.84x = 8,498,245,265.40
  5. Step 5: Solve for x
    x = 8,498,245,265.40/84,174.84
  6. Step 6: Final answer
    x = 100,959.45

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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.