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Finding the Fourth Proportional to 77,400, 106,822.08 and 45,571.84

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Solution

The fourth proportional to 77,400, 106,822.08 and 45,571.84 is: 62,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,400 : 106,822.08 = 45,571.84 : x
  2. Step 2: Convert to fraction form
    77,400/106,822.08 = 45,571.84/x
  3. Step 3: Cross multiply
    77,400x = 106,822.08 × 45,571.84
  4. Step 4: Simplify right side
    77,400x = 4,868,078,738.23
  5. Step 5: Solve for x
    x = 4,868,078,738.23/77,400
  6. Step 6: Final answer
    x = 62,895.07

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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.