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Finding the Fourth Proportional to 205,886.94, 308,883.65 and 120,569.85

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Solution

The fourth proportional to 205,886.94, 308,883.65 and 120,569.85 is: 180,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,886.94 : 308,883.65 = 120,569.85 : x
  2. Step 2: Convert to fraction form
    205,886.94/308,883.65 = 120,569.85/x
  3. Step 3: Cross multiply
    205,886.94x = 308,883.65 × 120,569.85
  4. Step 4: Simplify right side
    205,886.94x = 37,242,054,745.10
  5. Step 5: Solve for x
    x = 37,242,054,745.10/205,886.94
  6. Step 6: Final answer
    x = 180,885.95

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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.