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Finding the Fourth Proportional to 142,640.84, 196,855.44 and 78,984.56

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Solution

The fourth proportional to 142,640.84, 196,855.44 and 78,984.56 is: 109,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,640.84 : 196,855.44 = 78,984.56 : x
  2. Step 2: Convert to fraction form
    142,640.84/196,855.44 = 78,984.56/x
  3. Step 3: Cross multiply
    142,640.84x = 196,855.44 × 78,984.56
  4. Step 4: Simplify right side
    142,640.84x = 15,548,540,312.01
  5. Step 5: Solve for x
    x = 15,548,540,312.01/142,640.84
  6. Step 6: Final answer
    x = 109,004.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.