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Finding the Fourth Proportional to 65,128.60, 97,691.07 and 20,758.01

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Solution

The fourth proportional to 65,128.60, 97,691.07 and 20,758.01 is: 31,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,128.60 : 97,691.07 = 20,758.01 : x
  2. Step 2: Convert to fraction form
    65,128.60/97,691.07 = 20,758.01/x
  3. Step 3: Cross multiply
    65,128.60x = 97,691.07 × 20,758.01
  4. Step 4: Simplify right side
    65,128.60x = 2,027,872,452.20
  5. Step 5: Solve for x
    x = 2,027,872,452.20/65,128.60
  6. Step 6: Final answer
    x = 31,136.44

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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.