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Finding the Fourth Proportional to 65,475, 90,355.50 and 35,667

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Solution

The fourth proportional to 65,475, 90,355.50 and 35,667 is: 49,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,475 : 90,355.50 = 35,667 : x
  2. Step 2: Convert to fraction form
    65,475/90,355.50 = 35,667/x
  3. Step 3: Cross multiply
    65,475x = 90,355.50 × 35,667
  4. Step 4: Simplify right side
    65,475x = 3,222,709,618.50
  5. Step 5: Solve for x
    x = 3,222,709,618.50/65,475
  6. Step 6: Final answer
    x = 49,220.46

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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.