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Finding the Fourth Proportional to 133,866.40, 200,828.40 and 40,381.60

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Solution

The fourth proportional to 133,866.40, 200,828.40 and 40,381.60 is: 60,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,866.40 : 200,828.40 = 40,381.60 : x
  2. Step 2: Convert to fraction form
    133,866.40/200,828.40 = 40,381.60/x
  3. Step 3: Cross multiply
    133,866.40x = 200,828.40 × 40,381.60
  4. Step 4: Simplify right side
    133,866.40x = 8,109,772,117.44
  5. Step 5: Solve for x
    x = 8,109,772,117.44/133,866.40
  6. Step 6: Final answer
    x = 60,581.09

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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.