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Finding the Fourth Proportional to 65,167, 97,751.46 and 15,919

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Solution

The fourth proportional to 65,167, 97,751.46 and 15,919 is: 23,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167 : 97,751.46 = 15,919 : x
  2. Step 2: Convert to fraction form
    65,167/97,751.46 = 15,919/x
  3. Step 3: Cross multiply
    65,167x = 97,751.46 × 15,919
  4. Step 4: Simplify right side
    65,167x = 1,556,105,491.74
  5. Step 5: Solve for x
    x = 1,556,105,491.74/65,167
  6. Step 6: Final answer
    x = 23,878.73

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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.