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Finding the Fourth Proportional to 213,099.40, 319,649.10 and 133,784.20

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Solution

The fourth proportional to 213,099.40, 319,649.10 and 133,784.20 is: 200,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,099.40 : 319,649.10 = 133,784.20 : x
  2. Step 2: Convert to fraction form
    213,099.40/319,649.10 = 133,784.20/x
  3. Step 3: Cross multiply
    213,099.40x = 319,649.10 × 133,784.20
  4. Step 4: Simplify right side
    213,099.40x = 42,763,999,124.22
  5. Step 5: Solve for x
    x = 42,763,999,124.22/213,099.40
  6. Step 6: Final answer
    x = 200,676.30

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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.