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Finding the Fourth Proportional to 109,963.20, 164,912.40 and 43,381.20

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Solution

The fourth proportional to 109,963.20, 164,912.40 and 43,381.20 is: 65,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,963.20 : 164,912.40 = 43,381.20 : x
  2. Step 2: Convert to fraction form
    109,963.20/164,912.40 = 43,381.20/x
  3. Step 3: Cross multiply
    109,963.20x = 164,912.40 × 43,381.20
  4. Step 4: Simplify right side
    109,963.20x = 7,154,097,806.88
  5. Step 5: Solve for x
    x = 7,154,097,806.88/109,963.20
  6. Step 6: Final answer
    x = 65,059.02

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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.