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Finding the Fourth Proportional to 47,080, 64,976.16 and 27,208

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Solution

The fourth proportional to 47,080, 64,976.16 and 27,208 is: 37,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,080 : 64,976.16 = 27,208 : x
  2. Step 2: Convert to fraction form
    47,080/64,976.16 = 27,208/x
  3. Step 3: Cross multiply
    47,080x = 64,976.16 × 27,208
  4. Step 4: Simplify right side
    47,080x = 1,767,871,361.28
  5. Step 5: Solve for x
    x = 1,767,871,361.28/47,080
  6. Step 6: Final answer
    x = 37,550.37

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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.