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Finding the Fourth Proportional to 81,836, 112,933.80 and 48,302

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Solution

The fourth proportional to 81,836, 112,933.80 and 48,302 is: 66,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,836 : 112,933.80 = 48,302 : x
  2. Step 2: Convert to fraction form
    81,836/112,933.80 = 48,302/x
  3. Step 3: Cross multiply
    81,836x = 112,933.80 × 48,302
  4. Step 4: Simplify right side
    81,836x = 5,454,928,407.60
  5. Step 5: Solve for x
    x = 5,454,928,407.60/81,836
  6. Step 6: Final answer
    x = 66,656.83

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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.