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Finding the Fourth Proportional to 77,013.59, 106,292.25 and 49,823.10

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Solution

The fourth proportional to 77,013.59, 106,292.25 and 49,823.10 is: 68,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,013.59 : 106,292.25 = 49,823.10 : x
  2. Step 2: Convert to fraction form
    77,013.59/106,292.25 = 49,823.10/x
  3. Step 3: Cross multiply
    77,013.59x = 106,292.25 × 49,823.10
  4. Step 4: Simplify right side
    77,013.59x = 5,295,809,400.98
  5. Step 5: Solve for x
    x = 5,295,809,400.98/77,013.59
  6. Step 6: Final answer
    x = 68,764.61

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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.