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Finding the Fourth Proportional to 120,347.84, 166,027.86 and 72,574.65

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Solution

The fourth proportional to 120,347.84, 166,027.86 and 72,574.65 is: 100,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,347.84 : 166,027.86 = 72,574.65 : x
  2. Step 2: Convert to fraction form
    120,347.84/166,027.86 = 72,574.65/x
  3. Step 3: Cross multiply
    120,347.84x = 166,027.86 × 72,574.65
  4. Step 4: Simplify right side
    120,347.84x = 12,049,413,829.75
  5. Step 5: Solve for x
    x = 12,049,413,829.75/120,347.84
  6. Step 6: Final answer
    x = 100,121.56

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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.