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Finding the Fourth Proportional to 55,158, 82,749.96 and 18,222

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Solution

The fourth proportional to 55,158, 82,749.96 and 18,222 is: 27,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,158 : 82,749.96 = 18,222 : x
  2. Step 2: Convert to fraction form
    55,158/82,749.96 = 18,222/x
  3. Step 3: Cross multiply
    55,158x = 82,749.96 × 18,222
  4. Step 4: Simplify right side
    55,158x = 1,507,869,771.12
  5. Step 5: Solve for x
    x = 1,507,869,771.12/55,158
  6. Step 6: Final answer
    x = 27,337.28

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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.