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Finding the Fourth Proportional to 65,879.35, 90,912.73 and 35,664

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Solution

The fourth proportional to 65,879.35, 90,912.73 and 35,664 is: 49,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,879.35 : 90,912.73 = 35,664 : x
  2. Step 2: Convert to fraction form
    65,879.35/90,912.73 = 35,664/x
  3. Step 3: Cross multiply
    65,879.35x = 90,912.73 × 35,664
  4. Step 4: Simplify right side
    65,879.35x = 3,242,311,602.72
  5. Step 5: Solve for x
    x = 3,242,311,602.72/65,879.35
  6. Step 6: Final answer
    x = 49,215.90

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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.