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Finding the Fourth Proportional to 86,150.81, 129,228.65 and 23,821.31

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Solution

The fourth proportional to 86,150.81, 129,228.65 and 23,821.31 is: 35,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,150.81 : 129,228.65 = 23,821.31 : x
  2. Step 2: Convert to fraction form
    86,150.81/129,228.65 = 23,821.31/x
  3. Step 3: Cross multiply
    86,150.81x = 129,228.65 × 23,821.31
  4. Step 4: Simplify right side
    86,150.81x = 3,078,394,967.28
  5. Step 5: Solve for x
    x = 3,078,394,967.28/86,150.81
  6. Step 6: Final answer
    x = 35,732.63

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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.