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Finding the Fourth Proportional to 65,128.13, 97,691.12 and 20,754.29

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Solution

The fourth proportional to 65,128.13, 97,691.12 and 20,754.29 is: 31,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,128.13 : 97,691.12 = 20,754.29 : x
  2. Step 2: Convert to fraction form
    65,128.13/97,691.12 = 20,754.29/x
  3. Step 3: Cross multiply
    65,128.13x = 97,691.12 × 20,754.29
  4. Step 4: Simplify right side
    65,128.13x = 2,027,509,242.68
  5. Step 5: Solve for x
    x = 2,027,509,242.68/65,128.13
  6. Step 6: Final answer
    x = 31,131.09

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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.