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Finding the Fourth Proportional to 65,225.37, 97,840.61 and 20,251.40

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Solution

The fourth proportional to 65,225.37, 97,840.61 and 20,251.40 is: 30,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.37 : 97,840.61 = 20,251.40 : x
  2. Step 2: Convert to fraction form
    65,225.37/97,840.61 = 20,251.40/x
  3. Step 3: Cross multiply
    65,225.37x = 97,840.61 × 20,251.40
  4. Step 4: Simplify right side
    65,225.37x = 1,981,408,738.89
  5. Step 5: Solve for x
    x = 1,981,408,738.89/65,225.37
  6. Step 6: Final answer
    x = 30,377.88

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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.