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Finding the Fourth Proportional to 86,646, 119,571.84 and 46,902

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Solution

The fourth proportional to 86,646, 119,571.84 and 46,902 is: 64,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,646 : 119,571.84 = 46,902 : x
  2. Step 2: Convert to fraction form
    86,646/119,571.84 = 46,902/x
  3. Step 3: Cross multiply
    86,646x = 119,571.84 × 46,902
  4. Step 4: Simplify right side
    86,646x = 5,608,158,439.68
  5. Step 5: Solve for x
    x = 5,608,158,439.68/86,646
  6. Step 6: Final answer
    x = 64,724.95

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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.