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Finding the Fourth Proportional to 55,004, 82,507.62 and 13,451

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Solution

The fourth proportional to 55,004, 82,507.62 and 13,451 is: 20,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,004 : 82,507.62 = 13,451 : x
  2. Step 2: Convert to fraction form
    55,004/82,507.62 = 13,451/x
  3. Step 3: Cross multiply
    55,004x = 82,507.62 × 13,451
  4. Step 4: Simplify right side
    55,004x = 1,109,809,996.62
  5. Step 5: Solve for x
    x = 1,109,809,996.62/55,004
  6. Step 6: Final answer
    x = 20,176.90

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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.