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Finding the Fourth Proportional to 144,783.86, 199,801.59 and 81,122.11

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Solution

The fourth proportional to 144,783.86, 199,801.59 and 81,122.11 is: 111,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,783.86 : 199,801.59 = 81,122.11 : x
  2. Step 2: Convert to fraction form
    144,783.86/199,801.59 = 81,122.11/x
  3. Step 3: Cross multiply
    144,783.86x = 199,801.59 × 81,122.11
  4. Step 4: Simplify right side
    144,783.86x = 16,208,325,758.44
  5. Step 5: Solve for x
    x = 16,208,325,758.44/144,783.86
  6. Step 6: Final answer
    x = 111,948.43

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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.