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Finding the Fourth Proportional to 213,058.80, 319,199.40 and 129,855.60

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Solution

The fourth proportional to 213,058.80, 319,199.40 and 129,855.60 is: 194,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,058.80 : 319,199.40 = 129,855.60 : x
  2. Step 2: Convert to fraction form
    213,058.80/319,199.40 = 129,855.60/x
  3. Step 3: Cross multiply
    213,058.80x = 319,199.40 × 129,855.60
  4. Step 4: Simplify right side
    213,058.80x = 41,449,829,606.64
  5. Step 5: Solve for x
    x = 41,449,829,606.64/213,058.80
  6. Step 6: Final answer
    x = 194,546.43

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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.