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Finding the Fourth Proportional to 72,880.53, 109,296.34 and 27,891.40

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Solution

The fourth proportional to 72,880.53, 109,296.34 and 27,891.40 is: 41,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,880.53 : 109,296.34 = 27,891.40 : x
  2. Step 2: Convert to fraction form
    72,880.53/109,296.34 = 27,891.40/x
  3. Step 3: Cross multiply
    72,880.53x = 109,296.34 × 27,891.40
  4. Step 4: Simplify right side
    72,880.53x = 3,048,427,390.99
  5. Step 5: Solve for x
    x = 3,048,427,390.99/72,880.53
  6. Step 6: Final answer
    x = 41,827.73

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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.