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Finding the Fourth Proportional to 47,321.81, 65,303.99 and 27,180

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Solution

The fourth proportional to 47,321.81, 65,303.99 and 27,180 is: 37,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321.81 : 65,303.99 = 27,180 : x
  2. Step 2: Convert to fraction form
    47,321.81/65,303.99 = 27,180/x
  3. Step 3: Cross multiply
    47,321.81x = 65,303.99 × 27,180
  4. Step 4: Simplify right side
    47,321.81x = 1,774,962,312.30
  5. Step 5: Solve for x
    x = 1,774,962,312.30/47,321.81
  6. Step 6: Final answer
    x = 37,508.34

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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.