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Finding the Fourth Proportional to 65,134.80, 89,890.83 and 36,457.34

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Solution

The fourth proportional to 65,134.80, 89,890.83 and 36,457.34 is: 50,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,134.80 : 89,890.83 = 36,457.34 : x
  2. Step 2: Convert to fraction form
    65,134.80/89,890.83 = 36,457.34/x
  3. Step 3: Cross multiply
    65,134.80x = 89,890.83 × 36,457.34
  4. Step 4: Simplify right side
    65,134.80x = 3,277,180,102.74
  5. Step 5: Solve for x
    x = 3,277,180,102.74/65,134.80
  6. Step 6: Final answer
    x = 50,313.81

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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.