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Finding the Fourth Proportional to 122,078, 183,118.14 and 43,205.60

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Solution

The fourth proportional to 122,078, 183,118.14 and 43,205.60 is: 64,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,078 : 183,118.14 = 43,205.60 : x
  2. Step 2: Convert to fraction form
    122,078/183,118.14 = 43,205.60/x
  3. Step 3: Cross multiply
    122,078x = 183,118.14 × 43,205.60
  4. Step 4: Simplify right side
    122,078x = 7,911,729,109.58
  5. Step 5: Solve for x
    x = 7,911,729,109.58/122,078
  6. Step 6: Final answer
    x = 64,808.80

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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.