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Finding the Fourth Proportional to 77,664.78, 107,205.99 and 68,205.41

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Solution

The fourth proportional to 77,664.78, 107,205.99 and 68,205.41 is: 94,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,664.78 : 107,205.99 = 68,205.41 : x
  2. Step 2: Convert to fraction form
    77,664.78/107,205.99 = 68,205.41/x
  3. Step 3: Cross multiply
    77,664.78x = 107,205.99 × 68,205.41
  4. Step 4: Simplify right side
    77,664.78x = 7,312,027,966.38
  5. Step 5: Solve for x
    x = 7,312,027,966.38/77,664.78
  6. Step 6: Final answer
    x = 94,148.57

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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.