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Finding the Fourth Proportional to 49,078.95, 67,729.28 and 27,858.57

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Solution

The fourth proportional to 49,078.95, 67,729.28 and 27,858.57 is: 38,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078.95 : 67,729.28 = 27,858.57 : x
  2. Step 2: Convert to fraction form
    49,078.95/67,729.28 = 27,858.57/x
  3. Step 3: Cross multiply
    49,078.95x = 67,729.28 × 27,858.57
  4. Step 4: Simplify right side
    49,078.95x = 1,886,840,748.64
  5. Step 5: Solve for x
    x = 1,886,840,748.64/49,078.95
  6. Step 6: Final answer
    x = 38,445.01

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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.