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Finding the Fourth Proportional to 141,960.36, 212,678.10 and 71,671.80

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Solution

The fourth proportional to 141,960.36, 212,678.10 and 71,671.80 is: 107,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,960.36 : 212,678.10 = 71,671.80 : x
  2. Step 2: Convert to fraction form
    141,960.36/212,678.10 = 71,671.80/x
  3. Step 3: Cross multiply
    141,960.36x = 212,678.10 × 71,671.80
  4. Step 4: Simplify right side
    141,960.36x = 15,243,022,247.58
  5. Step 5: Solve for x
    x = 15,243,022,247.58/141,960.36
  6. Step 6: Final answer
    x = 107,375.20

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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.