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Finding the Fourth Proportional to 86,135.96, 129,203.94 and 50,969

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Solution

The fourth proportional to 86,135.96, 129,203.94 and 50,969 is: 76,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,135.96 : 129,203.94 = 50,969 : x
  2. Step 2: Convert to fraction form
    86,135.96/129,203.94 = 50,969/x
  3. Step 3: Cross multiply
    86,135.96x = 129,203.94 × 50,969
  4. Step 4: Simplify right side
    86,135.96x = 6,585,395,617.86
  5. Step 5: Solve for x
    x = 6,585,395,617.86/86,135.96
  6. Step 6: Final answer
    x = 76,453.50

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1.5x scale

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.