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Finding the Fourth Proportional to 144,009, 198,732.42 and 84,393

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Solution

The fourth proportional to 144,009, 198,732.42 and 84,393 is: 116,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,009 : 198,732.42 = 84,393 : x
  2. Step 2: Convert to fraction form
    144,009/198,732.42 = 84,393/x
  3. Step 3: Cross multiply
    144,009x = 198,732.42 × 84,393
  4. Step 4: Simplify right side
    144,009x = 16,771,625,121.06
  5. Step 5: Solve for x
    x = 16,771,625,121.06/144,009
  6. Step 6: Final answer
    x = 116,462.34

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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.