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Finding the Fourth Proportional to 122,317.48, 168,729.72 and 76,978.60

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Solution

The fourth proportional to 122,317.48, 168,729.72 and 76,978.60 is: 106,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,317.48 : 168,729.72 = 76,978.60 : x
  2. Step 2: Convert to fraction form
    122,317.48/168,729.72 = 76,978.60/x
  3. Step 3: Cross multiply
    122,317.48x = 168,729.72 × 76,978.60
  4. Step 4: Simplify right side
    122,317.48x = 12,988,577,623.99
  5. Step 5: Solve for x
    x = 12,988,577,623.99/122,317.48
  6. Step 6: Final answer
    x = 106,187.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.