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Finding the Fourth Proportional to 65,218.38, 97,843.46 and 20,238.63

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Solution

The fourth proportional to 65,218.38, 97,843.46 and 20,238.63 is: 30,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.38 : 97,843.46 = 20,238.63 : x
  2. Step 2: Convert to fraction form
    65,218.38/97,843.46 = 20,238.63/x
  3. Step 3: Cross multiply
    65,218.38x = 97,843.46 × 20,238.63
  4. Step 4: Simplify right side
    65,218.38x = 1,980,217,483.67
  5. Step 5: Solve for x
    x = 1,980,217,483.67/65,218.38
  6. Step 6: Final answer
    x = 30,362.87

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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.