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Finding the Fourth Proportional to 144,866, 217,361.44 and 78,352.96

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Solution

The fourth proportional to 144,866, 217,361.44 and 78,352.96 is: 117,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,866 : 217,361.44 = 78,352.96 : x
  2. Step 2: Convert to fraction form
    144,866/217,361.44 = 78,352.96/x
  3. Step 3: Cross multiply
    144,866x = 217,361.44 × 78,352.96
  4. Step 4: Simplify right side
    144,866x = 17,030,912,213.86
  5. Step 5: Solve for x
    x = 17,030,912,213.86/144,866
  6. Step 6: Final answer
    x = 117,563.21

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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.