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Finding the Fourth Proportional to 189,586.54, 261,747.76 and 120,714.88

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Solution

The fourth proportional to 189,586.54, 261,747.76 and 120,714.88 is: 166,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,586.54 : 261,747.76 = 120,714.88 : x
  2. Step 2: Convert to fraction form
    189,586.54/261,747.76 = 120,714.88/x
  3. Step 3: Cross multiply
    189,586.54x = 261,747.76 × 120,714.88
  4. Step 4: Simplify right side
    189,586.54x = 31,596,849,438.67
  5. Step 5: Solve for x
    x = 31,596,849,438.67/189,586.54
  6. Step 6: Final answer
    x = 166,661.88

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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.