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Finding the Fourth Proportional to 86,532.94, 129,816.78 and 36,612.82

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Solution

The fourth proportional to 86,532.94, 129,816.78 and 36,612.82 is: 54,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,532.94 : 129,816.78 = 36,612.82 : x
  2. Step 2: Convert to fraction form
    86,532.94/129,816.78 = 36,612.82/x
  3. Step 3: Cross multiply
    86,532.94x = 129,816.78 × 36,612.82
  4. Step 4: Simplify right side
    86,532.94x = 4,752,958,399.12
  5. Step 5: Solve for x
    x = 4,752,958,399.12/86,532.94
  6. Step 6: Final answer
    x = 54,926.58

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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.