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Finding the Fourth Proportional to 78,241.19, 117,309.93 and 28,314.78

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Solution

The fourth proportional to 78,241.19, 117,309.93 and 28,314.78 is: 42,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,241.19 : 117,309.93 = 28,314.78 : x
  2. Step 2: Convert to fraction form
    78,241.19/117,309.93 = 28,314.78/x
  3. Step 3: Cross multiply
    78,241.19x = 117,309.93 × 28,314.78
  4. Step 4: Simplify right side
    78,241.19x = 3,321,604,859.77
  5. Step 5: Solve for x
    x = 3,321,604,859.77/78,241.19
  6. Step 6: Final answer
    x = 42,453.41

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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.