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Finding the Fourth Proportional to 78,148, 117,241.44 and 22,744

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Solution

The fourth proportional to 78,148, 117,241.44 and 22,744 is: 34,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148 : 117,241.44 = 22,744 : x
  2. Step 2: Convert to fraction form
    78,148/117,241.44 = 22,744/x
  3. Step 3: Cross multiply
    78,148x = 117,241.44 × 22,744
  4. Step 4: Simplify right side
    78,148x = 2,666,539,311.36
  5. Step 5: Solve for x
    x = 2,666,539,311.36/78,148
  6. Step 6: Final answer
    x = 34,121.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.