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Finding the Fourth Proportional to 144,072.99, 198,809.78 and 83,633.90

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Solution

The fourth proportional to 144,072.99, 198,809.78 and 83,633.90 is: 115,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,072.99 : 198,809.78 = 83,633.90 : x
  2. Step 2: Convert to fraction form
    144,072.99/198,809.78 = 83,633.90/x
  3. Step 3: Cross multiply
    144,072.99x = 198,809.78 × 83,633.90
  4. Step 4: Simplify right side
    144,072.99x = 16,627,235,847.32
  5. Step 5: Solve for x
    x = 16,627,235,847.32/144,072.99
  6. Step 6: Final answer
    x = 115,408.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.