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Finding the Fourth Proportional to 47,321, 70,993.50 and 17,738.92

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Solution

The fourth proportional to 47,321, 70,993.50 and 17,738.92 is: 26,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321 : 70,993.50 = 17,738.92 : x
  2. Step 2: Convert to fraction form
    47,321/70,993.50 = 17,738.92/x
  3. Step 3: Cross multiply
    47,321x = 70,993.50 × 17,738.92
  4. Step 4: Simplify right side
    47,321x = 1,259,348,017.02
  5. Step 5: Solve for x
    x = 1,259,348,017.02/47,321
  6. Step 6: Final answer
    x = 26,612.88

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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.