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Finding the Fourth Proportional to 30,149.01, 41,605.65 and 16,719.82

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Solution

The fourth proportional to 30,149.01, 41,605.65 and 16,719.82 is: 23,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.01 : 41,605.65 = 16,719.82 : x
  2. Step 2: Convert to fraction form
    30,149.01/41,605.65 = 16,719.82/x
  3. Step 3: Cross multiply
    30,149.01x = 41,605.65 × 16,719.82
  4. Step 4: Simplify right side
    30,149.01x = 695,638,874.97
  5. Step 5: Solve for x
    x = 695,638,874.97/30,149.01
  6. Step 6: Final answer
    x = 23,073.36

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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.