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Finding the Fourth Proportional to 105,339, 158,008.50 and 31,467

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Solution

The fourth proportional to 105,339, 158,008.50 and 31,467 is: 47,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,339 : 158,008.50 = 31,467 : x
  2. Step 2: Convert to fraction form
    105,339/158,008.50 = 31,467/x
  3. Step 3: Cross multiply
    105,339x = 158,008.50 × 31,467
  4. Step 4: Simplify right side
    105,339x = 4,972,053,469.50
  5. Step 5: Solve for x
    x = 4,972,053,469.50/105,339
  6. Step 6: Final answer
    x = 47,200.50

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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.