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Finding the Fourth Proportional to 55,525.80, 76,624.98 and 30,375

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Solution

The fourth proportional to 55,525.80, 76,624.98 and 30,375 is: 41,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,525.80 : 76,624.98 = 30,375 : x
  2. Step 2: Convert to fraction form
    55,525.80/76,624.98 = 30,375/x
  3. Step 3: Cross multiply
    55,525.80x = 76,624.98 × 30,375
  4. Step 4: Simplify right side
    55,525.80x = 2,327,483,767.50
  5. Step 5: Solve for x
    x = 2,327,483,767.50/55,525.80
  6. Step 6: Final answer
    x = 41,917.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.