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Finding the Fourth Proportional to 30,107, 41,547.66 and 16,859

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Solution

The fourth proportional to 30,107, 41,547.66 and 16,859 is: 23,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107 : 41,547.66 = 16,859 : x
  2. Step 2: Convert to fraction form
    30,107/41,547.66 = 16,859/x
  3. Step 3: Cross multiply
    30,107x = 41,547.66 × 16,859
  4. Step 4: Simplify right side
    30,107x = 700,451,999.94
  5. Step 5: Solve for x
    x = 700,451,999.94/30,107
  6. Step 6: Final answer
    x = 23,265.42

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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.