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Finding the Fourth Proportional to 133,787.58, 200,712.09 and 45,038.72

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Solution

The fourth proportional to 133,787.58, 200,712.09 and 45,038.72 is: 67,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,787.58 : 200,712.09 = 45,038.72 : x
  2. Step 2: Convert to fraction form
    133,787.58/200,712.09 = 45,038.72/x
  3. Step 3: Cross multiply
    133,787.58x = 200,712.09 × 45,038.72
  4. Step 4: Simplify right side
    133,787.58x = 9,039,814,618.56
  5. Step 5: Solve for x
    x = 9,039,814,618.56/133,787.58
  6. Step 6: Final answer
    x = 67,568.41

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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.