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Finding the Fourth Proportional to 65,173.35, 97,764.48 and 20,803.47

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Solution

The fourth proportional to 65,173.35, 97,764.48 and 20,803.47 is: 31,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,173.35 : 97,764.48 = 20,803.47 : x
  2. Step 2: Convert to fraction form
    65,173.35/97,764.48 = 20,803.47/x
  3. Step 3: Cross multiply
    65,173.35x = 97,764.48 × 20,803.47
  4. Step 4: Simplify right side
    65,173.35x = 2,033,840,426.75
  5. Step 5: Solve for x
    x = 2,033,840,426.75/65,173.35
  6. Step 6: Final answer
    x = 31,206.63

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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.