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Finding the Fourth Proportional to 204,612.86, 306,870.69 and 78,206.69

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Solution

The fourth proportional to 204,612.86, 306,870.69 and 78,206.69 is: 117,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,612.86 : 306,870.69 = 78,206.69 : x
  2. Step 2: Convert to fraction form
    204,612.86/306,870.69 = 78,206.69/x
  3. Step 3: Cross multiply
    204,612.86x = 306,870.69 × 78,206.69
  4. Step 4: Simplify right side
    204,612.86x = 23,999,340,922.92
  5. Step 5: Solve for x
    x = 23,999,340,922.92/204,612.86
  6. Step 6: Final answer
    x = 117,291.46

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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.