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Finding the Fourth Proportional to 86,378, 129,358.02 and 41,894.60

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Solution

The fourth proportional to 86,378, 129,358.02 and 41,894.60 is: 62,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,378 : 129,358.02 = 41,894.60 : x
  2. Step 2: Convert to fraction form
    86,378/129,358.02 = 41,894.60/x
  3. Step 3: Cross multiply
    86,378x = 129,358.02 × 41,894.60
  4. Step 4: Simplify right side
    86,378x = 5,419,402,504.69
  5. Step 5: Solve for x
    x = 5,419,402,504.69/86,378
  6. Step 6: Final answer
    x = 62,740.54

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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.