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Finding the Fourth Proportional to 53,378, 73,661.64 and 29,826

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Solution

The fourth proportional to 53,378, 73,661.64 and 29,826 is: 41,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,378 : 73,661.64 = 29,826 : x
  2. Step 2: Convert to fraction form
    53,378/73,661.64 = 29,826/x
  3. Step 3: Cross multiply
    53,378x = 73,661.64 × 29,826
  4. Step 4: Simplify right side
    53,378x = 2,197,032,074.64
  5. Step 5: Solve for x
    x = 2,197,032,074.64/53,378
  6. Step 6: Final answer
    x = 41,159.88

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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.