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Finding the Fourth Proportional to 55,405, 76,459.31 and 30,254.50

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Solution

The fourth proportional to 55,405, 76,459.31 and 30,254.50 is: 41,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,405 : 76,459.31 = 30,254.50 : x
  2. Step 2: Convert to fraction form
    55,405/76,459.31 = 30,254.50/x
  3. Step 3: Cross multiply
    55,405x = 76,459.31 × 30,254.50
  4. Step 4: Simplify right side
    55,405x = 2,313,238,194.40
  5. Step 5: Solve for x
    x = 2,313,238,194.40/55,405
  6. Step 6: Final answer
    x = 41,751.43

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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.