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Finding the Fourth Proportional to 54,619.66, 81,909.66 and 19,071

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Solution

The fourth proportional to 54,619.66, 81,909.66 and 19,071 is: 28,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,619.66 : 81,909.66 = 19,071 : x
  2. Step 2: Convert to fraction form
    54,619.66/81,909.66 = 19,071/x
  3. Step 3: Cross multiply
    54,619.66x = 81,909.66 × 19,071
  4. Step 4: Simplify right side
    54,619.66x = 1,562,099,197.38
  5. Step 5: Solve for x
    x = 1,562,099,197.38/54,619.66
  6. Step 6: Final answer
    x = 28,599.58

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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.