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Finding the Fourth Proportional to 143,452, 197,963.76 and 83,836

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Solution

The fourth proportional to 143,452, 197,963.76 and 83,836 is: 115,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,452 : 197,963.76 = 83,836 : x
  2. Step 2: Convert to fraction form
    143,452/197,963.76 = 83,836/x
  3. Step 3: Cross multiply
    143,452x = 197,963.76 × 83,836
  4. Step 4: Simplify right side
    143,452x = 16,596,489,783.36
  5. Step 5: Solve for x
    x = 16,596,489,783.36/143,452
  6. Step 6: Final answer
    x = 115,693.68

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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.