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Finding the Fourth Proportional to 65,169.03, 97,720.74 and 31,839.15

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Solution

The fourth proportional to 65,169.03, 97,720.74 and 31,839.15 is: 47,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.03 : 97,720.74 = 31,839.15 : x
  2. Step 2: Convert to fraction form
    65,169.03/97,720.74 = 31,839.15/x
  3. Step 3: Cross multiply
    65,169.03x = 97,720.74 × 31,839.15
  4. Step 4: Simplify right side
    65,169.03x = 3,111,345,298.97
  5. Step 5: Solve for x
    x = 3,111,345,298.97/65,169.03
  6. Step 6: Final answer
    x = 47,742.70

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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.