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Finding the Fourth Proportional to 78,408.36, 117,614.70 and 19,243.80

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Solution

The fourth proportional to 78,408.36, 117,614.70 and 19,243.80 is: 28,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.36 : 117,614.70 = 19,243.80 : x
  2. Step 2: Convert to fraction form
    78,408.36/117,614.70 = 19,243.80/x
  3. Step 3: Cross multiply
    78,408.36x = 117,614.70 × 19,243.80
  4. Step 4: Simplify right side
    78,408.36x = 2,263,353,763.86
  5. Step 5: Solve for x
    x = 2,263,353,763.86/78,408.36
  6. Step 6: Final answer
    x = 28,866.23

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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.