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Finding the Fourth Proportional to 55,274, 82,911.24 and 18,338

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Solution

The fourth proportional to 55,274, 82,911.24 and 18,338 is: 27,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,274 : 82,911.24 = 18,338 : x
  2. Step 2: Convert to fraction form
    55,274/82,911.24 = 18,338/x
  3. Step 3: Cross multiply
    55,274x = 82,911.24 × 18,338
  4. Step 4: Simplify right side
    55,274x = 1,520,426,319.12
  5. Step 5: Solve for x
    x = 1,520,426,319.12/55,274
  6. Step 6: Final answer
    x = 27,507.08

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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.