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Finding the Fourth Proportional to 55,516.80, 76,612.56 and 30,366

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Solution

The fourth proportional to 55,516.80, 76,612.56 and 30,366 is: 41,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,516.80 : 76,612.56 = 30,366 : x
  2. Step 2: Convert to fraction form
    55,516.80/76,612.56 = 30,366/x
  3. Step 3: Cross multiply
    55,516.80x = 76,612.56 × 30,366
  4. Step 4: Simplify right side
    55,516.80x = 2,326,416,996.96
  5. Step 5: Solve for x
    x = 2,326,416,996.96/55,516.80
  6. Step 6: Final answer
    x = 41,904.74

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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.