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Finding the Fourth Proportional to 65,139.96, 97,723.98 and 20,161.20

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Solution

The fourth proportional to 65,139.96, 97,723.98 and 20,161.20 is: 30,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,139.96 : 97,723.98 = 20,161.20 : x
  2. Step 2: Convert to fraction form
    65,139.96/97,723.98 = 20,161.20/x
  3. Step 3: Cross multiply
    65,139.96x = 97,723.98 × 20,161.20
  4. Step 4: Simplify right side
    65,139.96x = 1,970,232,705.58
  5. Step 5: Solve for x
    x = 1,970,232,705.58/65,139.96
  6. Step 6: Final answer
    x = 30,246.15

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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.