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Finding the Fourth Proportional to 90,553.16, 135,796.14 and 31,373

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Solution

The fourth proportional to 90,553.16, 135,796.14 and 31,373 is: 47,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,553.16 : 135,796.14 = 31,373 : x
  2. Step 2: Convert to fraction form
    90,553.16/135,796.14 = 31,373/x
  3. Step 3: Cross multiply
    90,553.16x = 135,796.14 × 31,373
  4. Step 4: Simplify right side
    90,553.16x = 4,260,332,300.22
  5. Step 5: Solve for x
    x = 4,260,332,300.22/90,553.16
  6. Step 6: Final answer
    x = 47,047.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.