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Finding the Fourth Proportional to 205,692.61, 308,394.02 and 79,226.90

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Solution

The fourth proportional to 205,692.61, 308,394.02 and 79,226.90 is: 118,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,692.61 : 308,394.02 = 79,226.90 : x
  2. Step 2: Convert to fraction form
    205,692.61/308,394.02 = 79,226.90/x
  3. Step 3: Cross multiply
    205,692.61x = 308,394.02 × 79,226.90
  4. Step 4: Simplify right side
    205,692.61x = 24,433,103,152.19
  5. Step 5: Solve for x
    x = 24,433,103,152.19/205,692.61
  6. Step 6: Final answer
    x = 118,784.55

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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.