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Finding the Fourth Proportional to 78,222.98, 107,907.97 and 49,494.23

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Solution

The fourth proportional to 78,222.98, 107,907.97 and 49,494.23 is: 68,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.98 : 107,907.97 = 49,494.23 : x
  2. Step 2: Convert to fraction form
    78,222.98/107,907.97 = 49,494.23/x
  3. Step 3: Cross multiply
    78,222.98x = 107,907.97 × 49,494.23
  4. Step 4: Simplify right side
    78,222.98x = 5,340,821,222.74
  5. Step 5: Solve for x
    x = 5,340,821,222.74/78,222.98
  6. Step 6: Final answer
    x = 68,276.89

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1.5x scale

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.