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Finding the Fourth Proportional to 142,114.45, 196,112.81 and 78,450.88

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Solution

The fourth proportional to 142,114.45, 196,112.81 and 78,450.88 is: 108,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,114.45 : 196,112.81 = 78,450.88 : x
  2. Step 2: Convert to fraction form
    142,114.45/196,112.81 = 78,450.88/x
  3. Step 3: Cross multiply
    142,114.45x = 196,112.81 × 78,450.88
  4. Step 4: Simplify right side
    142,114.45x = 15,385,222,621.80
  5. Step 5: Solve for x
    x = 15,385,222,621.80/142,114.45
  6. Step 6: Final answer
    x = 108,259.38

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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.