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Finding the Fourth Proportional to 139,209.41, 192,106.95 and 81,855.20

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Solution

The fourth proportional to 139,209.41, 192,106.95 and 81,855.20 is: 112,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,209.41 : 192,106.95 = 81,855.20 : x
  2. Step 2: Convert to fraction form
    139,209.41/192,106.95 = 81,855.20/x
  3. Step 3: Cross multiply
    139,209.41x = 192,106.95 × 81,855.20
  4. Step 4: Simplify right side
    139,209.41x = 15,724,952,813.64
  5. Step 5: Solve for x
    x = 15,724,952,813.64/139,209.41
  6. Step 6: Final answer
    x = 112,958.98

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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.