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Finding the Fourth Proportional to 120,639.78, 166,487.33 and 72,883.87

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Solution

The fourth proportional to 120,639.78, 166,487.33 and 72,883.87 is: 100,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,639.78 : 166,487.33 = 72,883.87 : x
  2. Step 2: Convert to fraction form
    120,639.78/166,487.33 = 72,883.87/x
  3. Step 3: Cross multiply
    120,639.78x = 166,487.33 × 72,883.87
  4. Step 4: Simplify right side
    120,639.78x = 12,134,240,682.36
  5. Step 5: Solve for x
    x = 12,134,240,682.36/120,639.78
  6. Step 6: Final answer
    x = 100,582.42

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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.