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Finding the Fourth Proportional to 43,812.45, 65,721.02 and 14,228.10

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Solution

The fourth proportional to 43,812.45, 65,721.02 and 14,228.10 is: 21,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,812.45 : 65,721.02 = 14,228.10 : x
  2. Step 2: Convert to fraction form
    43,812.45/65,721.02 = 14,228.10/x
  3. Step 3: Cross multiply
    43,812.45x = 65,721.02 × 14,228.10
  4. Step 4: Simplify right side
    43,812.45x = 935,085,173.52
  5. Step 5: Solve for x
    x = 935,085,173.52/43,812.45
  6. Step 6: Final answer
    x = 21,342.91

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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.