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Finding the Fourth Proportional to 212,975.63, 319,429.59 and 70,809.08

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Solution

The fourth proportional to 212,975.63, 319,429.59 and 70,809.08 is: 106,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,975.63 : 319,429.59 = 70,809.08 : x
  2. Step 2: Convert to fraction form
    212,975.63/319,429.59 = 70,809.08/x
  3. Step 3: Cross multiply
    212,975.63x = 319,429.59 × 70,809.08
  4. Step 4: Simplify right side
    212,975.63x = 22,618,515,392.68
  5. Step 5: Solve for x
    x = 22,618,515,392.68/212,975.63
  6. Step 6: Final answer
    x = 106,202.36

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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.