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Finding the Fourth Proportional to 65,106.57, 97,633.13 and 20,721.41

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Solution

The fourth proportional to 65,106.57, 97,633.13 and 20,721.41 is: 31,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.57 : 97,633.13 = 20,721.41 : x
  2. Step 2: Convert to fraction form
    65,106.57/97,633.13 = 20,721.41/x
  3. Step 3: Cross multiply
    65,106.57x = 97,633.13 × 20,721.41
  4. Step 4: Simplify right side
    65,106.57x = 2,023,095,524.54
  5. Step 5: Solve for x
    x = 2,023,095,524.54/65,106.57
  6. Step 6: Final answer
    x = 31,073.60

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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.