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Finding the Fourth Proportional to 213,164.40, 319,132.20 and 130,220.40

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Solution

The fourth proportional to 213,164.40, 319,132.20 and 130,220.40 is: 194,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,164.40 : 319,132.20 = 130,220.40 : x
  2. Step 2: Convert to fraction form
    213,164.40/319,132.20 = 130,220.40/x
  3. Step 3: Cross multiply
    213,164.40x = 319,132.20 × 130,220.40
  4. Step 4: Simplify right side
    213,164.40x = 41,557,522,736.88
  5. Step 5: Solve for x
    x = 41,557,522,736.88/213,164.40
  6. Step 6: Final answer
    x = 194,955.27

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1.5x scale

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.