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Finding the Fourth Proportional to 65,128.80, 97,725.60 and 25,687.20

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Solution

The fourth proportional to 65,128.80, 97,725.60 and 25,687.20 is: 38,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,128.80 : 97,725.60 = 25,687.20 : x
  2. Step 2: Convert to fraction form
    65,128.80/97,725.60 = 25,687.20/x
  3. Step 3: Cross multiply
    65,128.80x = 97,725.60 × 25,687.20
  4. Step 4: Simplify right side
    65,128.80x = 2,510,297,032.32
  5. Step 5: Solve for x
    x = 2,510,297,032.32/65,128.80
  6. Step 6: Final answer
    x = 38,543.58

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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.