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Finding the Fourth Proportional to 167,678.54, 231,295.20 and 103,158.80

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Solution

The fourth proportional to 167,678.54, 231,295.20 and 103,158.80 is: 142,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,678.54 : 231,295.20 = 103,158.80 : x
  2. Step 2: Convert to fraction form
    167,678.54/231,295.20 = 103,158.80/x
  3. Step 3: Cross multiply
    167,678.54x = 231,295.20 × 103,158.80
  4. Step 4: Simplify right side
    167,678.54x = 23,860,135,277.76
  5. Step 5: Solve for x
    x = 23,860,135,277.76/167,678.54
  6. Step 6: Final answer
    x = 142,296.89

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