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Finding the Fourth Proportional to 253,573.02, 380,422.72 and 76,083.30

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Solution

The fourth proportional to 253,573.02, 380,422.72 and 76,083.30 is: 114,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,573.02 : 380,422.72 = 76,083.30 : x
  2. Step 2: Convert to fraction form
    253,573.02/380,422.72 = 76,083.30/x
  3. Step 3: Cross multiply
    253,573.02x = 380,422.72 × 76,083.30
  4. Step 4: Simplify right side
    253,573.02x = 28,943,815,932.58
  5. Step 5: Solve for x
    x = 28,943,815,932.58/253,573.02
  6. Step 6: Final answer
    x = 114,143.91

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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.