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Finding the Fourth Proportional to 53,480, 80,157.36 and 18,388.64

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Solution

The fourth proportional to 53,480, 80,157.36 and 18,388.64 is: 27,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,480 : 80,157.36 = 18,388.64 : x
  2. Step 2: Convert to fraction form
    53,480/80,157.36 = 18,388.64/x
  3. Step 3: Cross multiply
    53,480x = 80,157.36 × 18,388.64
  4. Step 4: Simplify right side
    53,480x = 1,473,984,836.39
  5. Step 5: Solve for x
    x = 1,473,984,836.39/53,480
  6. Step 6: Final answer
    x = 27,561.42

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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.