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Finding the Fourth Proportional to 142,015.84, 196,004.84 and 84,662.20

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Solution

The fourth proportional to 142,015.84, 196,004.84 and 84,662.20 is: 116,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,015.84 : 196,004.84 = 84,662.20 : x
  2. Step 2: Convert to fraction form
    142,015.84/196,004.84 = 84,662.20/x
  3. Step 3: Cross multiply
    142,015.84x = 196,004.84 × 84,662.20
  4. Step 4: Simplify right side
    142,015.84x = 16,594,200,965.05
  5. Step 5: Solve for x
    x = 16,594,200,965.05/142,015.84
  6. Step 6: Final answer
    x = 116,847.54

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1.5x scale

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.