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Finding the Fourth Proportional to 81,860.84, 122,786.25 and 48,145.50

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Solution

The fourth proportional to 81,860.84, 122,786.25 and 48,145.50 is: 72,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,860.84 : 122,786.25 = 48,145.50 : x
  2. Step 2: Convert to fraction form
    81,860.84/122,786.25 = 48,145.50/x
  3. Step 3: Cross multiply
    81,860.84x = 122,786.25 × 48,145.50
  4. Step 4: Simplify right side
    81,860.84x = 5,911,605,218.83
  5. Step 5: Solve for x
    x = 5,911,605,218.83/81,860.84
  6. Step 6: Final answer
    x = 72,215.30

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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.