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Finding the Fourth Proportional to 141,806.70, 212,710.05 and 78,821.10

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Solution

The fourth proportional to 141,806.70, 212,710.05 and 78,821.10 is: 118,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,806.70 : 212,710.05 = 78,821.10 : x
  2. Step 2: Convert to fraction form
    141,806.70/212,710.05 = 78,821.10/x
  3. Step 3: Cross multiply
    141,806.70x = 212,710.05 × 78,821.10
  4. Step 4: Simplify right side
    141,806.70x = 16,766,040,122.06
  5. Step 5: Solve for x
    x = 16,766,040,122.06/141,806.70
  6. Step 6: Final answer
    x = 118,231.65

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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.