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Finding the Fourth Proportional to 142,217, 213,360.06 and 43,721

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Solution

The fourth proportional to 142,217, 213,360.06 and 43,721 is: 65,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,217 : 213,360.06 = 43,721 : x
  2. Step 2: Convert to fraction form
    142,217/213,360.06 = 43,721/x
  3. Step 3: Cross multiply
    142,217x = 213,360.06 × 43,721
  4. Step 4: Simplify right side
    142,217x = 9,328,315,183.26
  5. Step 5: Solve for x
    x = 9,328,315,183.26/142,217
  6. Step 6: Final answer
    x = 65,592.12

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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.