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Finding the Fourth Proportional to 43,409.20, 65,113.80 and 28,634.80

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Solution

The fourth proportional to 43,409.20, 65,113.80 and 28,634.80 is: 42,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409.20 : 65,113.80 = 28,634.80 : x
  2. Step 2: Convert to fraction form
    43,409.20/65,113.80 = 28,634.80/x
  3. Step 3: Cross multiply
    43,409.20x = 65,113.80 × 28,634.80
  4. Step 4: Simplify right side
    43,409.20x = 1,864,520,640.24
  5. Step 5: Solve for x
    x = 1,864,520,640.24/43,409.20
  6. Step 6: Final answer
    x = 42,952.20

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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.