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Finding the Fourth Proportional to 189,662.70, 284,536.42 and 71,335.06

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Solution

The fourth proportional to 189,662.70, 284,536.42 and 71,335.06 is: 107,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,662.70 : 284,536.42 = 71,335.06 : x
  2. Step 2: Convert to fraction form
    189,662.70/284,536.42 = 71,335.06/x
  3. Step 3: Cross multiply
    189,662.70x = 284,536.42 × 71,335.06
  4. Step 4: Simplify right side
    189,662.70x = 20,297,422,592.89
  5. Step 5: Solve for x
    x = 20,297,422,592.89/189,662.70
  6. Step 6: Final answer
    x = 107,018.53

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1.5x scale

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.