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Finding the Fourth Proportional to 78,143.88, 117,221.22 and 31,396.80

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Solution

The fourth proportional to 78,143.88, 117,221.22 and 31,396.80 is: 47,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,143.88 : 117,221.22 = 31,396.80 : x
  2. Step 2: Convert to fraction form
    78,143.88/117,221.22 = 31,396.80/x
  3. Step 3: Cross multiply
    78,143.88x = 117,221.22 × 31,396.80
  4. Step 4: Simplify right side
    78,143.88x = 3,680,371,200.10
  5. Step 5: Solve for x
    x = 3,680,371,200.10/78,143.88
  6. Step 6: Final answer
    x = 47,097.37

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1.5x scale

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.