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Finding the Fourth Proportional to 144,008, 198,731.04 and 84,392

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Solution

The fourth proportional to 144,008, 198,731.04 and 84,392 is: 116,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,008 : 198,731.04 = 84,392 : x
  2. Step 2: Convert to fraction form
    144,008/198,731.04 = 84,392/x
  3. Step 3: Cross multiply
    144,008x = 198,731.04 × 84,392
  4. Step 4: Simplify right side
    144,008x = 16,771,309,927.68
  5. Step 5: Solve for x
    x = 16,771,309,927.68/144,008
  6. Step 6: Final answer
    x = 116,460.96

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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.