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Finding the Fourth Proportional to 55,566, 76,682.30 and 30,415.50

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Solution

The fourth proportional to 55,566, 76,682.30 and 30,415.50 is: 41,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,566 : 76,682.30 = 30,415.50 : x
  2. Step 2: Convert to fraction form
    55,566/76,682.30 = 30,415.50/x
  3. Step 3: Cross multiply
    55,566x = 76,682.30 × 30,415.50
  4. Step 4: Simplify right side
    55,566x = 2,332,330,343.57
  5. Step 5: Solve for x
    x = 2,332,330,343.57/55,566
  6. Step 6: Final answer
    x = 41,974.06

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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.