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Finding the Fourth Proportional to 55,282, 82,935.96 and 18,346

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Solution

The fourth proportional to 55,282, 82,935.96 and 18,346 is: 27,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,282 : 82,935.96 = 18,346 : x
  2. Step 2: Convert to fraction form
    55,282/82,935.96 = 18,346/x
  3. Step 3: Cross multiply
    55,282x = 82,935.96 × 18,346
  4. Step 4: Simplify right side
    55,282x = 1,521,543,122.16
  5. Step 5: Solve for x
    x = 1,521,543,122.16/55,282
  6. Step 6: Final answer
    x = 27,523.30

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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.