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Finding the Fourth Proportional to 78,611.40, 117,824.22 and 77,734.44

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Solution

The fourth proportional to 78,611.40, 117,824.22 and 77,734.44 is: 116,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,611.40 : 117,824.22 = 77,734.44 : x
  2. Step 2: Convert to fraction form
    78,611.40/117,824.22 = 77,734.44/x
  3. Step 3: Cross multiply
    78,611.40x = 117,824.22 × 77,734.44
  4. Step 4: Simplify right side
    78,611.40x = 9,158,999,760.14
  5. Step 5: Solve for x
    x = 9,158,999,760.14/78,611.40
  6. Step 6: Final answer
    x = 116,509.82

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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.