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Finding the Fourth Proportional to 121,116, 181,652.48 and 36,855.84

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Solution

The fourth proportional to 121,116, 181,652.48 and 36,855.84 is: 55,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,116 : 181,652.48 = 36,855.84 : x
  2. Step 2: Convert to fraction form
    121,116/181,652.48 = 36,855.84/x
  3. Step 3: Cross multiply
    121,116x = 181,652.48 × 36,855.84
  4. Step 4: Simplify right side
    121,116x = 6,694,954,738.48
  5. Step 5: Solve for x
    x = 6,694,954,738.48/121,116
  6. Step 6: Final answer
    x = 55,277.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.