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Finding the Fourth Proportional to 65,274.10, 97,911.15 and 20,902.30

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Solution

The fourth proportional to 65,274.10, 97,911.15 and 20,902.30 is: 31,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.10 : 97,911.15 = 20,902.30 : x
  2. Step 2: Convert to fraction form
    65,274.10/97,911.15 = 20,902.30/x
  3. Step 3: Cross multiply
    65,274.10x = 97,911.15 × 20,902.30
  4. Step 4: Simplify right side
    65,274.10x = 2,046,568,230.65
  5. Step 5: Solve for x
    x = 2,046,568,230.65/65,274.10
  6. Step 6: Final answer
    x = 31,353.45

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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.