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Finding the Fourth Proportional to 142,647.84, 196,865.19 and 78,991.56

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Solution

The fourth proportional to 142,647.84, 196,865.19 and 78,991.56 is: 109,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,647.84 : 196,865.19 = 78,991.56 : x
  2. Step 2: Convert to fraction form
    142,647.84/196,865.19 = 78,991.56/x
  3. Step 3: Cross multiply
    142,647.84x = 196,865.19 × 78,991.56
  4. Step 4: Simplify right side
    142,647.84x = 15,550,688,467.80
  5. Step 5: Solve for x
    x = 15,550,688,467.80/142,647.84
  6. Step 6: Final answer
    x = 109,014.54

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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.