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Finding the Fourth Proportional to 189,783.52, 261,927.30 and 109,209.40

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Solution

The fourth proportional to 189,783.52, 261,927.30 and 109,209.40 is: 150,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,783.52 : 261,927.30 = 109,209.40 : x
  2. Step 2: Convert to fraction form
    189,783.52/261,927.30 = 109,209.40/x
  3. Step 3: Cross multiply
    189,783.52x = 261,927.30 × 109,209.40
  4. Step 4: Simplify right side
    189,783.52x = 28,604,923,276.62
  5. Step 5: Solve for x
    x = 28,604,923,276.62/189,783.52
  6. Step 6: Final answer
    x = 150,723.96

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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.