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Finding the Fourth Proportional to 213,005.70, 319,237.20 and 113,213.70

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Solution

The fourth proportional to 213,005.70, 319,237.20 and 113,213.70 is: 169,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,005.70 : 319,237.20 = 113,213.70 : x
  2. Step 2: Convert to fraction form
    213,005.70/319,237.20 = 113,213.70/x
  3. Step 3: Cross multiply
    213,005.70x = 319,237.20 × 113,213.70
  4. Step 4: Simplify right side
    213,005.70x = 36,142,024,589.64
  5. Step 5: Solve for x
    x = 36,142,024,589.64/213,005.70
  6. Step 6: Final answer
    x = 169,676.33

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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.