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Finding the Fourth Proportional to 213,203.44, 319,698.12 and 70,998.63

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Solution

The fourth proportional to 213,203.44, 319,698.12 and 70,998.63 is: 106,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,203.44 : 319,698.12 = 70,998.63 : x
  2. Step 2: Convert to fraction form
    213,203.44/319,698.12 = 70,998.63/x
  3. Step 3: Cross multiply
    213,203.44x = 319,698.12 × 70,998.63
  4. Step 4: Simplify right side
    213,203.44x = 22,698,128,533.58
  5. Step 5: Solve for x
    x = 22,698,128,533.58/213,203.44
  6. Step 6: Final answer
    x = 106,462.30

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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.