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Finding the Fourth Proportional to 189,648.80, 261,723.30 and 109,076.36

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Solution

The fourth proportional to 189,648.80, 261,723.30 and 109,076.36 is: 150,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,648.80 : 261,723.30 = 109,076.36 : x
  2. Step 2: Convert to fraction form
    189,648.80/261,723.30 = 109,076.36/x
  3. Step 3: Cross multiply
    189,648.80x = 261,723.30 × 109,076.36
  4. Step 4: Simplify right side
    189,648.80x = 28,547,824,891.19
  5. Step 5: Solve for x
    x = 28,547,824,891.19/189,648.80
  6. Step 6: Final answer
    x = 150,529.95

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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.