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Finding the Fourth Proportional to 206,680.25, 310,022.06 and 56,928.80

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Solution

The fourth proportional to 206,680.25, 310,022.06 and 56,928.80 is: 85,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,680.25 : 310,022.06 = 56,928.80 : x
  2. Step 2: Convert to fraction form
    206,680.25/310,022.06 = 56,928.80/x
  3. Step 3: Cross multiply
    206,680.25x = 310,022.06 × 56,928.80
  4. Step 4: Simplify right side
    206,680.25x = 17,649,184,339.74
  5. Step 5: Solve for x
    x = 17,649,184,339.74/206,680.25
  6. Step 6: Final answer
    x = 85,393.67

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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.