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Finding the Fourth Proportional to 75,400.78, 113,058.10 and 30,991

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Solution

The fourth proportional to 75,400.78, 113,058.10 and 30,991 is: 46,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,400.78 : 113,058.10 = 30,991 : x
  2. Step 2: Convert to fraction form
    75,400.78/113,058.10 = 30,991/x
  3. Step 3: Cross multiply
    75,400.78x = 113,058.10 × 30,991
  4. Step 4: Simplify right side
    75,400.78x = 3,503,783,577.10
  5. Step 5: Solve for x
    x = 3,503,783,577.10/75,400.78
  6. Step 6: Final answer
    x = 46,468.80

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Why These Related Problems?

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