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Finding the Fourth Proportional to 103,522.02, 155,283.03 and 82,647.78

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Solution

The fourth proportional to 103,522.02, 155,283.03 and 82,647.78 is: 123,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,522.02 : 155,283.03 = 82,647.78 : x
  2. Step 2: Convert to fraction form
    103,522.02/155,283.03 = 82,647.78/x
  3. Step 3: Cross multiply
    103,522.02x = 155,283.03 × 82,647.78
  4. Step 4: Simplify right side
    103,522.02x = 12,833,797,701.17
  5. Step 5: Solve for x
    x = 12,833,797,701.17/103,522.02
  6. Step 6: Final answer
    x = 123,971.67

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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.