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Finding the Fourth Proportional to 65,223.10, 97,834.65 and 20,851.30

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Solution

The fourth proportional to 65,223.10, 97,834.65 and 20,851.30 is: 31,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223.10 : 97,834.65 = 20,851.30 : x
  2. Step 2: Convert to fraction form
    65,223.10/97,834.65 = 20,851.30/x
  3. Step 3: Cross multiply
    65,223.10x = 97,834.65 × 20,851.30
  4. Step 4: Simplify right side
    65,223.10x = 2,039,979,637.55
  5. Step 5: Solve for x
    x = 2,039,979,637.55/65,223.10
  6. Step 6: Final answer
    x = 31,276.95

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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.