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Finding the Fourth Proportional to 77,363.37, 106,751.88 and 47,137.71

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Solution

The fourth proportional to 77,363.37, 106,751.88 and 47,137.71 is: 65,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,363.37 : 106,751.88 = 47,137.71 : x
  2. Step 2: Convert to fraction form
    77,363.37/106,751.88 = 47,137.71/x
  3. Step 3: Cross multiply
    77,363.37x = 106,751.88 × 47,137.71
  4. Step 4: Simplify right side
    77,363.37x = 5,032,039,161.39
  5. Step 5: Solve for x
    x = 5,032,039,161.39/77,363.37
  6. Step 6: Final answer
    x = 65,044.21

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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.