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Finding the Fourth Proportional to 81,849.84, 122,774.36 and 70,722.47

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Solution

The fourth proportional to 81,849.84, 122,774.36 and 70,722.47 is: 106,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,849.84 : 122,774.36 = 70,722.47 : x
  2. Step 2: Convert to fraction form
    81,849.84/122,774.36 = 70,722.47/x
  3. Step 3: Cross multiply
    81,849.84x = 122,774.36 × 70,722.47
  4. Step 4: Simplify right side
    81,849.84x = 8,682,905,024.39
  5. Step 5: Solve for x
    x = 8,682,905,024.39/81,849.84
  6. Step 6: Final answer
    x = 106,083.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.