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Finding the Fourth Proportional to 53,694, 80,520.45 and 17,662.06

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Solution

The fourth proportional to 53,694, 80,520.45 and 17,662.06 is: 26,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694 : 80,520.45 = 17,662.06 : x
  2. Step 2: Convert to fraction form
    53,694/80,520.45 = 17,662.06/x
  3. Step 3: Cross multiply
    53,694x = 80,520.45 × 17,662.06
  4. Step 4: Simplify right side
    53,694x = 1,422,157,019.13
  5. Step 5: Solve for x
    x = 1,422,157,019.13/53,694
  6. Step 6: Final answer
    x = 26,486.33

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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.