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Finding the Fourth Proportional to 55,406, 76,460.68 and 30,255.50

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Solution

The fourth proportional to 55,406, 76,460.68 and 30,255.50 is: 41,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,406 : 76,460.68 = 30,255.50 : x
  2. Step 2: Convert to fraction form
    55,406/76,460.68 = 30,255.50/x
  3. Step 3: Cross multiply
    55,406x = 76,460.68 × 30,255.50
  4. Step 4: Simplify right side
    55,406x = 2,313,356,103.74
  5. Step 5: Solve for x
    x = 2,313,356,103.74/55,406
  6. Step 6: Final answer
    x = 41,752.81

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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.