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Finding the Fourth Proportional to 214,185.72, 295,533.72 and 129,307.44

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Solution

The fourth proportional to 214,185.72, 295,533.72 and 129,307.44 is: 178,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,185.72 : 295,533.72 = 129,307.44 : x
  2. Step 2: Convert to fraction form
    214,185.72/295,533.72 = 129,307.44/x
  3. Step 3: Cross multiply
    214,185.72x = 295,533.72 × 129,307.44
  4. Step 4: Simplify right side
    214,185.72x = 38,214,708,766.88
  5. Step 5: Solve for x
    x = 38,214,708,766.88/214,185.72
  6. Step 6: Final answer
    x = 178,418.56

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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.