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Finding the Fourth Proportional to 65,212.48, 97,817.76 and 20,838.64

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Solution

The fourth proportional to 65,212.48, 97,817.76 and 20,838.64 is: 31,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.48 : 97,817.76 = 20,838.64 : x
  2. Step 2: Convert to fraction form
    65,212.48/97,817.76 = 20,838.64/x
  3. Step 3: Cross multiply
    65,212.48x = 97,817.76 × 20,838.64
  4. Step 4: Simplify right side
    65,212.48x = 2,038,389,086.25
  5. Step 5: Solve for x
    x = 2,038,389,086.25/65,212.48
  6. Step 6: Final answer
    x = 31,257.65

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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.