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Finding the Fourth Proportional to 55,007, 82,512.12 and 13,454

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Solution

The fourth proportional to 55,007, 82,512.12 and 13,454 is: 20,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,007 : 82,512.12 = 13,454 : x
  2. Step 2: Convert to fraction form
    55,007/82,512.12 = 13,454/x
  3. Step 3: Cross multiply
    55,007x = 82,512.12 × 13,454
  4. Step 4: Simplify right side
    55,007x = 1,110,118,062.48
  5. Step 5: Solve for x
    x = 1,110,118,062.48/55,007
  6. Step 6: Final answer
    x = 20,181.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.