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Finding the Fourth Proportional to 71,698, 107,547 and 30,145

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Solution

The fourth proportional to 71,698, 107,547 and 30,145 is: 45,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698 : 107,547 = 30,145 : x
  2. Step 2: Convert to fraction form
    71,698/107,547 = 30,145/x
  3. Step 3: Cross multiply
    71,698x = 107,547 × 30,145
  4. Step 4: Simplify right side
    71,698x = 3,242,004,315
  5. Step 5: Solve for x
    x = 3,242,004,315/71,698
  6. Step 6: Final answer
    x = 45,217.50

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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.