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Finding the Fourth Proportional to 75,422.33, 113,132.01 and 30,442.49

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Solution

The fourth proportional to 75,422.33, 113,132.01 and 30,442.49 is: 45,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,422.33 : 113,132.01 = 30,442.49 : x
  2. Step 2: Convert to fraction form
    75,422.33/113,132.01 = 30,442.49/x
  3. Step 3: Cross multiply
    75,422.33x = 113,132.01 × 30,442.49
  4. Step 4: Simplify right side
    75,422.33x = 3,444,020,403.99
  5. Step 5: Solve for x
    x = 3,444,020,403.99/75,422.33
  6. Step 6: Final answer
    x = 45,663.14

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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.