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Finding the Fourth Proportional to 69,720.78, 96,228.66 and 41,421

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Solution

The fourth proportional to 69,720.78, 96,228.66 and 41,421 is: 57,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,720.78 : 96,228.66 = 41,421 : x
  2. Step 2: Convert to fraction form
    69,720.78/96,228.66 = 41,421/x
  3. Step 3: Cross multiply
    69,720.78x = 96,228.66 × 41,421
  4. Step 4: Simplify right side
    69,720.78x = 3,985,887,325.86
  5. Step 5: Solve for x
    x = 3,985,887,325.86/69,720.78
  6. Step 6: Final answer
    x = 57,169.29

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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.