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Finding the Fourth Proportional to 57,028.48, 85,859.68 and 49,408

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Solution

The fourth proportional to 57,028.48, 85,859.68 and 49,408 is: 74,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,028.48 : 85,859.68 = 49,408 : x
  2. Step 2: Convert to fraction form
    57,028.48/85,859.68 = 49,408/x
  3. Step 3: Cross multiply
    57,028.48x = 85,859.68 × 49,408
  4. Step 4: Simplify right side
    57,028.48x = 4,242,155,069.44
  5. Step 5: Solve for x
    x = 4,242,155,069.44/57,028.48
  6. Step 6: Final answer
    x = 74,386.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.