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Finding the Fourth Proportional to 65,213.60, 97,801.20 and 25,757.60

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Solution

The fourth proportional to 65,213.60, 97,801.20 and 25,757.60 is: 38,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.60 : 97,801.20 = 25,757.60 : x
  2. Step 2: Convert to fraction form
    65,213.60/97,801.20 = 25,757.60/x
  3. Step 3: Cross multiply
    65,213.60x = 97,801.20 × 25,757.60
  4. Step 4: Simplify right side
    65,213.60x = 2,519,124,189.12
  5. Step 5: Solve for x
    x = 2,519,124,189.12/65,213.60
  6. Step 6: Final answer
    x = 38,628.82

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1.5x scale

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.