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Finding the Fourth Proportional to 144,004.81, 198,694.84 and 83,540.42

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Solution

The fourth proportional to 144,004.81, 198,694.84 and 83,540.42 is: 115,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,004.81 : 198,694.84 = 83,540.42 : x
  2. Step 2: Convert to fraction form
    144,004.81/198,694.84 = 83,540.42/x
  3. Step 3: Cross multiply
    144,004.81x = 198,694.84 × 83,540.42
  4. Step 4: Simplify right side
    144,004.81x = 16,599,050,985.26
  5. Step 5: Solve for x
    x = 16,599,050,985.26/144,004.81
  6. Step 6: Final answer
    x = 115,267.34

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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.