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Finding the Fourth Proportional to 139,206.41, 192,102.81 and 81,852.20

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Solution

The fourth proportional to 139,206.41, 192,102.81 and 81,852.20 is: 112,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,206.41 : 192,102.81 = 81,852.20 : x
  2. Step 2: Convert to fraction form
    139,206.41/192,102.81 = 81,852.20/x
  3. Step 3: Cross multiply
    139,206.41x = 192,102.81 × 81,852.20
  4. Step 4: Simplify right side
    139,206.41x = 15,724,037,624.68
  5. Step 5: Solve for x
    x = 15,724,037,624.68/139,206.41
  6. Step 6: Final answer
    x = 112,954.84

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1.5x scale

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.