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Finding the Fourth Proportional to 212,810.10, 319,069.35 and 100,544.10

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Solution

The fourth proportional to 212,810.10, 319,069.35 and 100,544.10 is: 150,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,810.10 : 319,069.35 = 100,544.10 : x
  2. Step 2: Convert to fraction form
    212,810.10/319,069.35 = 100,544.10/x
  3. Step 3: Cross multiply
    212,810.10x = 319,069.35 × 100,544.10
  4. Step 4: Simplify right side
    212,810.10x = 32,080,540,633.34
  5. Step 5: Solve for x
    x = 32,080,540,633.34/212,810.10
  6. Step 6: Final answer
    x = 150,747.27

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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.