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Finding the Fourth Proportional to 30,306.95, 41,830.39 and 19,678.13

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Solution

The fourth proportional to 30,306.95, 41,830.39 and 19,678.13 is: 27,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306.95 : 41,830.39 = 19,678.13 : x
  2. Step 2: Convert to fraction form
    30,306.95/41,830.39 = 19,678.13/x
  3. Step 3: Cross multiply
    30,306.95x = 41,830.39 × 19,678.13
  4. Step 4: Simplify right side
    30,306.95x = 823,143,852.37
  5. Step 5: Solve for x
    x = 823,143,852.37/30,306.95
  6. Step 6: Final answer
    x = 27,160.23

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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.