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Finding the Fourth Proportional to 20,071, 30,039.34 and 19,805.48

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Solution

The fourth proportional to 20,071, 30,039.34 and 19,805.48 is: 29,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071 : 30,039.34 = 19,805.48 : x
  2. Step 2: Convert to fraction form
    20,071/30,039.34 = 19,805.48/x
  3. Step 3: Cross multiply
    20,071x = 30,039.34 × 19,805.48
  4. Step 4: Simplify right side
    20,071x = 594,943,547.58
  5. Step 5: Solve for x
    x = 594,943,547.58/20,071
  6. Step 6: Final answer
    x = 29,641.95

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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.