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Finding the Fourth Proportional to 75,730.41, 113,595.60 and 20,326.41

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Solution

The fourth proportional to 75,730.41, 113,595.60 and 20,326.41 is: 30,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,730.41 : 113,595.60 = 20,326.41 : x
  2. Step 2: Convert to fraction form
    75,730.41/113,595.60 = 20,326.41/x
  3. Step 3: Cross multiply
    75,730.41x = 113,595.60 × 20,326.41
  4. Step 4: Simplify right side
    75,730.41x = 2,308,990,739.80
  5. Step 5: Solve for x
    x = 2,308,990,739.80/75,730.41
  6. Step 6: Final answer
    x = 30,489.61

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1.5x scale

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.