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Finding the Fourth Proportional to 55,354.86, 76,390 and 30,204.90

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Solution

The fourth proportional to 55,354.86, 76,390 and 30,204.90 is: 41,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,354.86 : 76,390 = 30,204.90 : x
  2. Step 2: Convert to fraction form
    55,354.86/76,390 = 30,204.90/x
  3. Step 3: Cross multiply
    55,354.86x = 76,390 × 30,204.90
  4. Step 4: Simplify right side
    55,354.86x = 2,307,352,311
  5. Step 5: Solve for x
    x = 2,307,352,311/55,354.86
  6. Step 6: Final answer
    x = 41,682.92

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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.