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Finding the Fourth Proportional to 65,265.90, 97,834.05 and 30,144.30

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Solution

The fourth proportional to 65,265.90, 97,834.05 and 30,144.30 is: 45,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265.90 : 97,834.05 = 30,144.30 : x
  2. Step 2: Convert to fraction form
    65,265.90/97,834.05 = 30,144.30/x
  3. Step 3: Cross multiply
    65,265.90x = 97,834.05 × 30,144.30
  4. Step 4: Simplify right side
    65,265.90x = 2,949,138,953.42
  5. Step 5: Solve for x
    x = 2,949,138,953.42/65,265.90
  6. Step 6: Final answer
    x = 45,186.52

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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.