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Finding the Fourth Proportional to 78,033.73, 107,579.33 and 49,339.05

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Solution

The fourth proportional to 78,033.73, 107,579.33 and 49,339.05 is: 68,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.73 : 107,579.33 = 49,339.05 : x
  2. Step 2: Convert to fraction form
    78,033.73/107,579.33 = 49,339.05/x
  3. Step 3: Cross multiply
    78,033.73x = 107,579.33 × 49,339.05
  4. Step 4: Simplify right side
    78,033.73x = 5,307,861,941.84
  5. Step 5: Solve for x
    x = 5,307,861,941.84/78,033.73
  6. Step 6: Final answer
    x = 68,020.10

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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.