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Finding the Fourth Proportional to 189,548.57, 261,621.90 and 109,022.63

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Solution

The fourth proportional to 189,548.57, 261,621.90 and 109,022.63 is: 150,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,548.57 : 261,621.90 = 109,022.63 : x
  2. Step 2: Convert to fraction form
    189,548.57/261,621.90 = 109,022.63/x
  3. Step 3: Cross multiply
    189,548.57x = 261,621.90 × 109,022.63
  4. Step 4: Simplify right side
    189,548.57x = 28,522,706,295.49
  5. Step 5: Solve for x
    x = 28,522,706,295.49/189,548.57
  6. Step 6: Final answer
    x = 150,477.03

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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.