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Finding the Fourth Proportional to 205,482.42, 308,078.74 and 79,016.41

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Solution

The fourth proportional to 205,482.42, 308,078.74 and 79,016.41 is: 118,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,482.42 : 308,078.74 = 79,016.41 : x
  2. Step 2: Convert to fraction form
    205,482.42/308,078.74 = 79,016.41/x
  3. Step 3: Cross multiply
    205,482.42x = 308,078.74 × 79,016.41
  4. Step 4: Simplify right side
    205,482.42x = 24,343,276,515.99
  5. Step 5: Solve for x
    x = 24,343,276,515.99/205,482.42
  6. Step 6: Final answer
    x = 118,468.90

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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.