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Finding the Fourth Proportional to 189,659.94, 284,500.88 and 71,332.31

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Solution

The fourth proportional to 189,659.94, 284,500.88 and 71,332.31 is: 107,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,659.94 : 284,500.88 = 71,332.31 : x
  2. Step 2: Convert to fraction form
    189,659.94/284,500.88 = 71,332.31/x
  3. Step 3: Cross multiply
    189,659.94x = 284,500.88 × 71,332.31
  4. Step 4: Simplify right side
    189,659.94x = 20,294,104,255.15
  5. Step 5: Solve for x
    x = 20,294,104,255.15/189,659.94
  6. Step 6: Final answer
    x = 107,002.59

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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.