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Finding the Fourth Proportional to 49,394.40, 74,101.20 and 21,314.40

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Solution

The fourth proportional to 49,394.40, 74,101.20 and 21,314.40 is: 31,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,394.40 : 74,101.20 = 21,314.40 : x
  2. Step 2: Convert to fraction form
    49,394.40/74,101.20 = 21,314.40/x
  3. Step 3: Cross multiply
    49,394.40x = 74,101.20 × 21,314.40
  4. Step 4: Simplify right side
    49,394.40x = 1,579,422,617.28
  5. Step 5: Solve for x
    x = 1,579,422,617.28/49,394.40
  6. Step 6: Final answer
    x = 31,975.74

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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.