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Finding the Fourth Proportional to 65,850.48, 90,850.68 and 45,702

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Solution

The fourth proportional to 65,850.48, 90,850.68 and 45,702 is: 63,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,850.48 : 90,850.68 = 45,702 : x
  2. Step 2: Convert to fraction form
    65,850.48/90,850.68 = 45,702/x
  3. Step 3: Cross multiply
    65,850.48x = 90,850.68 × 45,702
  4. Step 4: Simplify right side
    65,850.48x = 4,152,057,777.36
  5. Step 5: Solve for x
    x = 4,152,057,777.36/65,850.48
  6. Step 6: Final answer
    x = 63,052.81

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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.