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Finding the Fourth Proportional to 65,212.50, 97,832.70 and 20,232.88

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Solution

The fourth proportional to 65,212.50, 97,832.70 and 20,232.88 is: 30,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.50 : 97,832.70 = 20,232.88 : x
  2. Step 2: Convert to fraction form
    65,212.50/97,832.70 = 20,232.88/x
  3. Step 3: Cross multiply
    65,212.50x = 97,832.70 × 20,232.88
  4. Step 4: Simplify right side
    65,212.50x = 1,979,437,279.18
  5. Step 5: Solve for x
    x = 1,979,437,279.18/65,212.50
  6. Step 6: Final answer
    x = 30,353.65

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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.