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Finding the Fourth Proportional to 65,102.75, 97,621.82 and 20,723.74

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Solution

The fourth proportional to 65,102.75, 97,621.82 and 20,723.74 is: 31,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.75 : 97,621.82 = 20,723.74 : x
  2. Step 2: Convert to fraction form
    65,102.75/97,621.82 = 20,723.74/x
  3. Step 3: Cross multiply
    65,102.75x = 97,621.82 × 20,723.74
  4. Step 4: Simplify right side
    65,102.75x = 2,023,089,023.76
  5. Step 5: Solve for x
    x = 2,023,089,023.76/65,102.75
  6. Step 6: Final answer
    x = 31,075.32

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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.