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Finding the Fourth Proportional to 29,930.85, 44,978.49 and 27,980.55

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Solution

The fourth proportional to 29,930.85, 44,978.49 and 27,980.55 is: 42,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.85 : 44,978.49 = 27,980.55 : x
  2. Step 2: Convert to fraction form
    29,930.85/44,978.49 = 27,980.55/x
  3. Step 3: Cross multiply
    29,930.85x = 44,978.49 × 27,980.55
  4. Step 4: Simplify right side
    29,930.85x = 1,258,522,888.37
  5. Step 5: Solve for x
    x = 1,258,522,888.37/29,930.85
  6. Step 6: Final answer
    x = 42,047.68

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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.