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Finding the Fourth Proportional to 133,904.70, 200,986.65 and 81,416.70

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Solution

The fourth proportional to 133,904.70, 200,986.65 and 81,416.70 is: 122,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,904.70 : 200,986.65 = 81,416.70 : x
  2. Step 2: Convert to fraction form
    133,904.70/200,986.65 = 81,416.70/x
  3. Step 3: Cross multiply
    133,904.70x = 200,986.65 × 81,416.70
  4. Step 4: Simplify right side
    133,904.70x = 16,363,669,787.06
  5. Step 5: Solve for x
    x = 16,363,669,787.06/133,904.70
  6. Step 6: Final answer
    x = 122,203.85

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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.