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Finding the Fourth Proportional to 205,974.95, 308,963.45 and 72,855.32

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Solution

The fourth proportional to 205,974.95, 308,963.45 and 72,855.32 is: 109,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,974.95 : 308,963.45 = 72,855.32 : x
  2. Step 2: Convert to fraction form
    205,974.95/308,963.45 = 72,855.32/x
  3. Step 3: Cross multiply
    205,974.95x = 308,963.45 × 72,855.32
  4. Step 4: Simplify right side
    205,974.95x = 22,509,631,426.19
  5. Step 5: Solve for x
    x = 22,509,631,426.19/205,974.95
  6. Step 6: Final answer
    x = 109,283.35

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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.