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Finding the Fourth Proportional to 84,249, 116,263.62 and 54,441

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Solution

The fourth proportional to 84,249, 116,263.62 and 54,441 is: 75,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,249 : 116,263.62 = 54,441 : x
  2. Step 2: Convert to fraction form
    84,249/116,263.62 = 54,441/x
  3. Step 3: Cross multiply
    84,249x = 116,263.62 × 54,441
  4. Step 4: Simplify right side
    84,249x = 6,329,507,736.42
  5. Step 5: Solve for x
    x = 6,329,507,736.42/84,249
  6. Step 6: Final answer
    x = 75,128.58

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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.