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Finding the Fourth Proportional to 57,216.79, 85,828.97 and 19,780.48

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Solution

The fourth proportional to 57,216.79, 85,828.97 and 19,780.48 is: 29,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,216.79 : 85,828.97 = 19,780.48 : x
  2. Step 2: Convert to fraction form
    57,216.79/85,828.97 = 19,780.48/x
  3. Step 3: Cross multiply
    57,216.79x = 85,828.97 × 19,780.48
  4. Step 4: Simplify right side
    57,216.79x = 1,697,738,224.51
  5. Step 5: Solve for x
    x = 1,697,738,224.51/57,216.79
  6. Step 6: Final answer
    x = 29,672.03

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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.