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Finding the Fourth Proportional to 213,092.56, 319,251.20 and 124,076.20

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Solution

The fourth proportional to 213,092.56, 319,251.20 and 124,076.20 is: 185,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,092.56 : 319,251.20 = 124,076.20 : x
  2. Step 2: Convert to fraction form
    213,092.56/319,251.20 = 124,076.20/x
  3. Step 3: Cross multiply
    213,092.56x = 319,251.20 × 124,076.20
  4. Step 4: Simplify right side
    213,092.56x = 39,611,475,741.44
  5. Step 5: Solve for x
    x = 39,611,475,741.44/213,092.56
  6. Step 6: Final answer
    x = 185,888.59

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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.