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Finding the Fourth Proportional to 133,306.40, 199,963.20 and 58,388

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Solution

The fourth proportional to 133,306.40, 199,963.20 and 58,388 is: 87,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,306.40 : 199,963.20 = 58,388 : x
  2. Step 2: Convert to fraction form
    133,306.40/199,963.20 = 58,388/x
  3. Step 3: Cross multiply
    133,306.40x = 199,963.20 × 58,388
  4. Step 4: Simplify right side
    133,306.40x = 11,675,451,321.60
  5. Step 5: Solve for x
    x = 11,675,451,321.60/133,306.40
  6. Step 6: Final answer
    x = 87,583.58

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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.