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Finding the Fourth Proportional to 65,050, 89,769 and 35,242

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Solution

The fourth proportional to 65,050, 89,769 and 35,242 is: 48,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,050 : 89,769 = 35,242 : x
  2. Step 2: Convert to fraction form
    65,050/89,769 = 35,242/x
  3. Step 3: Cross multiply
    65,050x = 89,769 × 35,242
  4. Step 4: Simplify right side
    65,050x = 3,163,639,098
  5. Step 5: Solve for x
    x = 3,163,639,098/65,050
  6. Step 6: Final answer
    x = 48,633.96

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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.