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Finding the Fourth Proportional to 105,999.84, 146,408.04 and 77,274

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Solution

The fourth proportional to 105,999.84, 146,408.04 and 77,274 is: 106,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.84 : 146,408.04 = 77,274 : x
  2. Step 2: Convert to fraction form
    105,999.84/146,408.04 = 77,274/x
  3. Step 3: Cross multiply
    105,999.84x = 146,408.04 × 77,274
  4. Step 4: Simplify right side
    105,999.84x = 11,313,534,882.96
  5. Step 5: Solve for x
    x = 11,313,534,882.96/105,999.84
  6. Step 6: Final answer
    x = 106,731.62

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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.