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Finding the Fourth Proportional to 213,189.58, 319,677.39 and 70,984.75

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Solution

The fourth proportional to 213,189.58, 319,677.39 and 70,984.75 is: 106,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,189.58 : 319,677.39 = 70,984.75 : x
  2. Step 2: Convert to fraction form
    213,189.58/319,677.39 = 70,984.75/x
  3. Step 3: Cross multiply
    213,189.58x = 319,677.39 × 70,984.75
  4. Step 4: Simplify right side
    213,189.58x = 22,692,219,609.80
  5. Step 5: Solve for x
    x = 22,692,219,609.80/213,189.58
  6. Step 6: Final answer
    x = 106,441.50

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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.