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Finding the Fourth Proportional to 55,410, 76,466.22 and 30,259.50

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Solution

The fourth proportional to 55,410, 76,466.22 and 30,259.50 is: 41,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410 : 76,466.22 = 30,259.50 : x
  2. Step 2: Convert to fraction form
    55,410/76,466.22 = 30,259.50/x
  3. Step 3: Cross multiply
    55,410x = 76,466.22 × 30,259.50
  4. Step 4: Simplify right side
    55,410x = 2,313,829,584.09
  5. Step 5: Solve for x
    x = 2,313,829,584.09/55,410
  6. Step 6: Final answer
    x = 41,758.34

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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.