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Finding the Fourth Proportional to 119,185.23, 164,428.59 and 76,768.38

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Solution

The fourth proportional to 119,185.23, 164,428.59 and 76,768.38 is: 105,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,185.23 : 164,428.59 = 76,768.38 : x
  2. Step 2: Convert to fraction form
    119,185.23/164,428.59 = 76,768.38/x
  3. Step 3: Cross multiply
    119,185.23x = 164,428.59 × 76,768.38
  4. Step 4: Simplify right side
    119,185.23x = 12,622,916,479.98
  5. Step 5: Solve for x
    x = 12,622,916,479.98/119,185.23
  6. Step 6: Final answer
    x = 105,910.07

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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.