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Finding the Fourth Proportional to 86,324.69, 129,453.01 and 41,938.31

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Solution

The fourth proportional to 86,324.69, 129,453.01 and 41,938.31 is: 62,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,324.69 : 129,453.01 = 41,938.31 : x
  2. Step 2: Convert to fraction form
    86,324.69/129,453.01 = 41,938.31/x
  3. Step 3: Cross multiply
    86,324.69x = 129,453.01 × 41,938.31
  4. Step 4: Simplify right side
    86,324.69x = 5,429,039,711.70
  5. Step 5: Solve for x
    x = 5,429,039,711.70/86,324.69
  6. Step 6: Final answer
    x = 62,890.93

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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.