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Finding the Fourth Proportional to 55,206, 82,822.14 and 18,270

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Solution

The fourth proportional to 55,206, 82,822.14 and 18,270 is: 27,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206 : 82,822.14 = 18,270 : x
  2. Step 2: Convert to fraction form
    55,206/82,822.14 = 18,270/x
  3. Step 3: Cross multiply
    55,206x = 82,822.14 × 18,270
  4. Step 4: Simplify right side
    55,206x = 1,513,160,497.80
  5. Step 5: Solve for x
    x = 1,513,160,497.80/55,206
  6. Step 6: Final answer
    x = 27,409.35

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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.