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Finding the Fourth Proportional to 126,004.60, 189,006.90 and 72,787.60

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Solution

The fourth proportional to 126,004.60, 189,006.90 and 72,787.60 is: 109,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,004.60 : 189,006.90 = 72,787.60 : x
  2. Step 2: Convert to fraction form
    126,004.60/189,006.90 = 72,787.60/x
  3. Step 3: Cross multiply
    126,004.60x = 189,006.90 × 72,787.60
  4. Step 4: Simplify right side
    126,004.60x = 13,757,358,634.44
  5. Step 5: Solve for x
    x = 13,757,358,634.44/126,004.60
  6. Step 6: Final answer
    x = 109,181.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.