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Finding the Fourth Proportional to 65,882.79, 90,917.59 and 35,667.31

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Solution

The fourth proportional to 65,882.79, 90,917.59 and 35,667.31 is: 49,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882.79 : 90,917.59 = 35,667.31 : x
  2. Step 2: Convert to fraction form
    65,882.79/90,917.59 = 35,667.31/x
  3. Step 3: Cross multiply
    65,882.79x = 90,917.59 × 35,667.31
  4. Step 4: Simplify right side
    65,882.79x = 3,242,785,866.98
  5. Step 5: Solve for x
    x = 3,242,785,866.98/65,882.79
  6. Step 6: Final answer
    x = 49,220.53

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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.