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Finding the Fourth Proportional to 109,643.64, 164,333 and 53,399.48

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Solution

The fourth proportional to 109,643.64, 164,333 and 53,399.48 is: 80,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,643.64 : 164,333 = 53,399.48 : x
  2. Step 2: Convert to fraction form
    109,643.64/164,333 = 53,399.48/x
  3. Step 3: Cross multiply
    109,643.64x = 164,333 × 53,399.48
  4. Step 4: Simplify right side
    109,643.64x = 8,775,296,746.84
  5. Step 5: Solve for x
    x = 8,775,296,746.84/109,643.64
  6. Step 6: Final answer
    x = 80,034.71

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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.