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Finding the Fourth Proportional to 81,617.84, 122,172.34 and 62,849.12

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Solution

The fourth proportional to 81,617.84, 122,172.34 and 62,849.12 is: 94,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,617.84 : 122,172.34 = 62,849.12 : x
  2. Step 2: Convert to fraction form
    81,617.84/122,172.34 = 62,849.12/x
  3. Step 3: Cross multiply
    81,617.84x = 122,172.34 × 62,849.12
  4. Step 4: Simplify right side
    81,617.84x = 7,678,424,057.34
  5. Step 5: Solve for x
    x = 7,678,424,057.34/81,617.84
  6. Step 6: Final answer
    x = 94,077.77

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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.