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Finding the Fourth Proportional to 65,207.43, 97,816.37 and 20,840.49

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Solution

The fourth proportional to 65,207.43, 97,816.37 and 20,840.49 is: 31,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.43 : 97,816.37 = 20,840.49 : x
  2. Step 2: Convert to fraction form
    65,207.43/97,816.37 = 20,840.49/x
  3. Step 3: Cross multiply
    65,207.43x = 97,816.37 × 20,840.49
  4. Step 4: Simplify right side
    65,207.43x = 2,038,540,976.62
  5. Step 5: Solve for x
    x = 2,038,540,976.62/65,207.43
  6. Step 6: Final answer
    x = 31,262.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.