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Finding the Fourth Proportional to 75,714, 113,573.16 and 20,310

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Solution

The fourth proportional to 75,714, 113,573.16 and 20,310 is: 30,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714 : 113,573.16 = 20,310 : x
  2. Step 2: Convert to fraction form
    75,714/113,573.16 = 20,310/x
  3. Step 3: Cross multiply
    75,714x = 113,573.16 × 20,310
  4. Step 4: Simplify right side
    75,714x = 2,306,670,879.60
  5. Step 5: Solve for x
    x = 2,306,670,879.60/75,714
  6. Step 6: Final answer
    x = 30,465.58

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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.