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Finding the Fourth Proportional to 73,653.24, 101,643.64 and 40,121.40

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Solution

The fourth proportional to 73,653.24, 101,643.64 and 40,121.40 is: 55,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,653.24 : 101,643.64 = 40,121.40 : x
  2. Step 2: Convert to fraction form
    73,653.24/101,643.64 = 40,121.40/x
  3. Step 3: Cross multiply
    73,653.24x = 101,643.64 × 40,121.40
  4. Step 4: Simplify right side
    73,653.24x = 4,078,085,137.90
  5. Step 5: Solve for x
    x = 4,078,085,137.90/73,653.24
  6. Step 6: Final answer
    x = 55,368.71

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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.