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Finding the Fourth Proportional to 213,173.40, 319,145.70 and 130,229.40

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Solution

The fourth proportional to 213,173.40, 319,145.70 and 130,229.40 is: 194,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,173.40 : 319,145.70 = 130,229.40 : x
  2. Step 2: Convert to fraction form
    213,173.40/319,145.70 = 130,229.40/x
  3. Step 3: Cross multiply
    213,173.40x = 319,145.70 × 130,229.40
  4. Step 4: Simplify right side
    213,173.40x = 41,562,153,023.58
  5. Step 5: Solve for x
    x = 41,562,153,023.58/213,173.40
  6. Step 6: Final answer
    x = 194,968.76

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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.