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Finding the Fourth Proportional to 189,958.48, 284,822.60 and 130,729.08

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Solution

The fourth proportional to 189,958.48, 284,822.60 and 130,729.08 is: 196,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,958.48 : 284,822.60 = 130,729.08 : x
  2. Step 2: Convert to fraction form
    189,958.48/284,822.60 = 130,729.08/x
  3. Step 3: Cross multiply
    189,958.48x = 284,822.60 × 130,729.08
  4. Step 4: Simplify right side
    189,958.48x = 37,234,596,461.21
  5. Step 5: Solve for x
    x = 37,234,596,461.21/189,958.48
  6. Step 6: Final answer
    x = 196,014.39

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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.