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Finding the Fourth Proportional to 97,885, 135,069.84 and 57,589.90

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Solution

The fourth proportional to 97,885, 135,069.84 and 57,589.90 is: 79,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,885 : 135,069.84 = 57,589.90 : x
  2. Step 2: Convert to fraction form
    97,885/135,069.84 = 57,589.90/x
  3. Step 3: Cross multiply
    97,885x = 135,069.84 × 57,589.90
  4. Step 4: Simplify right side
    97,885x = 7,778,658,578.62
  5. Step 5: Solve for x
    x = 7,778,658,578.62/97,885
  6. Step 6: Final answer
    x = 79,467.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.