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Finding the Fourth Proportional to 214,453.12, 295,914.65 and 128,391.48

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Solution

The fourth proportional to 214,453.12, 295,914.65 and 128,391.48 is: 177,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,453.12 : 295,914.65 = 128,391.48 : x
  2. Step 2: Convert to fraction form
    214,453.12/295,914.65 = 128,391.48/x
  3. Step 3: Cross multiply
    214,453.12x = 295,914.65 × 128,391.48
  4. Step 4: Simplify right side
    214,453.12x = 37,992,920,489.08
  5. Step 5: Solve for x
    x = 37,992,920,489.08/214,453.12
  6. Step 6: Final answer
    x = 177,161.89

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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.