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Finding the Fourth Proportional to 55,243.50, 82,865.25 and 18,307.50

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Solution

The fourth proportional to 55,243.50, 82,865.25 and 18,307.50 is: 27,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243.50 : 82,865.25 = 18,307.50 : x
  2. Step 2: Convert to fraction form
    55,243.50/82,865.25 = 18,307.50/x
  3. Step 3: Cross multiply
    55,243.50x = 82,865.25 × 18,307.50
  4. Step 4: Simplify right side
    55,243.50x = 1,517,055,564.38
  5. Step 5: Solve for x
    x = 1,517,055,564.38/55,243.50
  6. Step 6: Final answer
    x = 27,461.25

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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.