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Finding the Fourth Proportional to 144,084, 198,858.96 and 84,468

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Solution

The fourth proportional to 144,084, 198,858.96 and 84,468 is: 116,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,084 : 198,858.96 = 84,468 : x
  2. Step 2: Convert to fraction form
    144,084/198,858.96 = 84,468/x
  3. Step 3: Cross multiply
    144,084x = 198,858.96 × 84,468
  4. Step 4: Simplify right side
    144,084x = 16,797,218,633.28
  5. Step 5: Solve for x
    x = 16,797,218,633.28/144,084
  6. Step 6: Final answer
    x = 116,579.35

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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.