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Finding the Fourth Proportional to 144,503.34, 199,409.94 and 80,839.74

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Solution

The fourth proportional to 144,503.34, 199,409.94 and 80,839.74 is: 111,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,503.34 : 199,409.94 = 80,839.74 : x
  2. Step 2: Convert to fraction form
    144,503.34/199,409.94 = 80,839.74/x
  3. Step 3: Cross multiply
    144,503.34x = 199,409.94 × 80,839.74
  4. Step 4: Simplify right side
    144,503.34x = 16,120,247,703.02
  5. Step 5: Solve for x
    x = 16,120,247,703.02/144,503.34
  6. Step 6: Final answer
    x = 111,556.23

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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.