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Finding the Fourth Proportional to 65,144.76, 97,722.62 and 20,777.82

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Solution

The fourth proportional to 65,144.76, 97,722.62 and 20,777.82 is: 31,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144.76 : 97,722.62 = 20,777.82 : x
  2. Step 2: Convert to fraction form
    65,144.76/97,722.62 = 20,777.82/x
  3. Step 3: Cross multiply
    65,144.76x = 97,722.62 × 20,777.82
  4. Step 4: Simplify right side
    65,144.76x = 2,030,463,008.29
  5. Step 5: Solve for x
    x = 2,030,463,008.29/65,144.76
  6. Step 6: Final answer
    x = 31,168.48

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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.