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Finding the Fourth Proportional to 144,720.72, 199,722.12 and 81,054.80

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Solution

The fourth proportional to 144,720.72, 199,722.12 and 81,054.80 is: 111,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,720.72 : 199,722.12 = 81,054.80 : x
  2. Step 2: Convert to fraction form
    144,720.72/199,722.12 = 81,054.80/x
  3. Step 3: Cross multiply
    144,720.72x = 199,722.12 × 81,054.80
  4. Step 4: Simplify right side
    144,720.72x = 16,188,436,492.18
  5. Step 5: Solve for x
    x = 16,188,436,492.18/144,720.72
  6. Step 6: Final answer
    x = 111,859.84

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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.