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Finding the Fourth Proportional to 55,114, 82,671.04 and 18,178

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Solution

The fourth proportional to 55,114, 82,671.04 and 18,178 is: 27,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,114 : 82,671.04 = 18,178 : x
  2. Step 2: Convert to fraction form
    55,114/82,671.04 = 18,178/x
  3. Step 3: Cross multiply
    55,114x = 82,671.04 × 18,178
  4. Step 4: Simplify right side
    55,114x = 1,502,794,165.12
  5. Step 5: Solve for x
    x = 1,502,794,165.12/55,114
  6. Step 6: Final answer
    x = 27,267.01

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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.