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Finding the Fourth Proportional to 189,264.64, 261,174.08 and 108,674.88

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Solution

The fourth proportional to 189,264.64, 261,174.08 and 108,674.88 is: 149,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,264.64 : 261,174.08 = 108,674.88 : x
  2. Step 2: Convert to fraction form
    189,264.64/261,174.08 = 108,674.88/x
  3. Step 3: Cross multiply
    189,264.64x = 261,174.08 × 108,674.88
  4. Step 4: Simplify right side
    189,264.64x = 28,383,061,803.11
  5. Step 5: Solve for x
    x = 28,383,061,803.11/189,264.64
  6. Step 6: Final answer
    x = 149,964.95

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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.