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Finding the Fourth Proportional to 82,647.95, 123,897.60 and 30,020.63

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Solution

The fourth proportional to 82,647.95, 123,897.60 and 30,020.63 is: 45,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,647.95 : 123,897.60 = 30,020.63 : x
  2. Step 2: Convert to fraction form
    82,647.95/123,897.60 = 30,020.63/x
  3. Step 3: Cross multiply
    82,647.95x = 123,897.60 × 30,020.63
  4. Step 4: Simplify right side
    82,647.95x = 3,719,483,388
  5. Step 5: Solve for x
    x = 3,719,483,388/82,647.95
  6. Step 6: Final answer
    x = 45,003.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.