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Finding the Fourth Proportional to 141,385.68, 212,107.68 and 47,889

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Solution

The fourth proportional to 141,385.68, 212,107.68 and 47,889 is: 71,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,385.68 : 212,107.68 = 47,889 : x
  2. Step 2: Convert to fraction form
    141,385.68/212,107.68 = 47,889/x
  3. Step 3: Cross multiply
    141,385.68x = 212,107.68 × 47,889
  4. Step 4: Simplify right side
    141,385.68x = 10,157,624,687.52
  5. Step 5: Solve for x
    x = 10,157,624,687.52/141,385.68
  6. Step 6: Final answer
    x = 71,843.38

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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.