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Finding the Fourth Proportional to 144,178.78, 198,964.74 and 83,783.56

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Solution

The fourth proportional to 144,178.78, 198,964.74 and 83,783.56 is: 115,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,178.78 : 198,964.74 = 83,783.56 : x
  2. Step 2: Convert to fraction form
    144,178.78/198,964.74 = 83,783.56/x
  3. Step 3: Cross multiply
    144,178.78x = 198,964.74 × 83,783.56
  4. Step 4: Simplify right side
    144,178.78x = 16,669,974,231.67
  5. Step 5: Solve for x
    x = 16,669,974,231.67/144,178.78
  6. Step 6: Final answer
    x = 115,620.16

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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.