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Finding the Fourth Proportional to 75,708, 113,564.16 and 20,304

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Solution

The fourth proportional to 75,708, 113,564.16 and 20,304 is: 30,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708 : 113,564.16 = 20,304 : x
  2. Step 2: Convert to fraction form
    75,708/113,564.16 = 20,304/x
  3. Step 3: Cross multiply
    75,708x = 113,564.16 × 20,304
  4. Step 4: Simplify right side
    75,708x = 2,305,806,704.64
  5. Step 5: Solve for x
    x = 2,305,806,704.64/75,708
  6. Step 6: Final answer
    x = 30,456.58

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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.