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Finding the Fourth Proportional to 65,117.22, 97,674.81 and 20,743.61

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Solution

The fourth proportional to 65,117.22, 97,674.81 and 20,743.61 is: 31,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,117.22 : 97,674.81 = 20,743.61 : x
  2. Step 2: Convert to fraction form
    65,117.22/97,674.81 = 20,743.61/x
  3. Step 3: Cross multiply
    65,117.22x = 97,674.81 × 20,743.61
  4. Step 4: Simplify right side
    65,117.22x = 2,026,128,165.46
  5. Step 5: Solve for x
    x = 2,026,128,165.46/65,117.22
  6. Step 6: Final answer
    x = 31,115.09

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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.