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Finding the Fourth Proportional to 78,103.56, 117,155.74 and 18,939.24

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Solution

The fourth proportional to 78,103.56, 117,155.74 and 18,939.24 is: 28,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,103.56 : 117,155.74 = 18,939.24 : x
  2. Step 2: Convert to fraction form
    78,103.56/117,155.74 = 18,939.24/x
  3. Step 3: Cross multiply
    78,103.56x = 117,155.74 × 18,939.24
  4. Step 4: Simplify right side
    78,103.56x = 2,218,840,677.24
  5. Step 5: Solve for x
    x = 2,218,840,677.24/78,103.56
  6. Step 6: Final answer
    x = 28,408.96

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1.5x scale

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.