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Finding the Fourth Proportional to 205,797.08, 308,485.14 and 139,244.24

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Solution

The fourth proportional to 205,797.08, 308,485.14 and 139,244.24 is: 208,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,797.08 : 308,485.14 = 139,244.24 : x
  2. Step 2: Convert to fraction form
    205,797.08/308,485.14 = 139,244.24/x
  3. Step 3: Cross multiply
    205,797.08x = 308,485.14 × 139,244.24
  4. Step 4: Simplify right side
    205,797.08x = 42,954,778,870.59
  5. Step 5: Solve for x
    x = 42,954,778,870.59/205,797.08
  6. Step 6: Final answer
    x = 208,723.95

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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.