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Finding the Fourth Proportional to 30,575.34, 42,176.09 and 19,226.87

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Solution

The fourth proportional to 30,575.34, 42,176.09 and 19,226.87 is: 26,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.34 : 42,176.09 = 19,226.87 : x
  2. Step 2: Convert to fraction form
    30,575.34/42,176.09 = 19,226.87/x
  3. Step 3: Cross multiply
    30,575.34x = 42,176.09 × 19,226.87
  4. Step 4: Simplify right side
    30,575.34x = 810,914,199.54
  5. Step 5: Solve for x
    x = 810,914,199.54/30,575.34
  6. Step 6: Final answer
    x = 26,521.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.