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Finding the Fourth Proportional to 214,321.65, 295,630.16 and 137,940.67

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Solution

The fourth proportional to 214,321.65, 295,630.16 and 137,940.67 is: 190,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,321.65 : 295,630.16 = 137,940.67 : x
  2. Step 2: Convert to fraction form
    214,321.65/295,630.16 = 137,940.67/x
  3. Step 3: Cross multiply
    214,321.65x = 295,630.16 × 137,940.67
  4. Step 4: Simplify right side
    214,321.65x = 40,779,422,022.44
  5. Step 5: Solve for x
    x = 40,779,422,022.44/214,321.65
  6. Step 6: Final answer
    x = 190,272.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.