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Finding the Fourth Proportional to 54,378, 81,588.60 and 24,809.76

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Solution

The fourth proportional to 54,378, 81,588.60 and 24,809.76 is: 37,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378 : 81,588.60 = 24,809.76 : x
  2. Step 2: Convert to fraction form
    54,378/81,588.60 = 24,809.76/x
  3. Step 3: Cross multiply
    54,378x = 81,588.60 × 24,809.76
  4. Step 4: Simplify right side
    54,378x = 2,024,193,584.74
  5. Step 5: Solve for x
    x = 2,024,193,584.74/54,378
  6. Step 6: Final answer
    x = 37,224.49

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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.