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Finding the Fourth Proportional to 123,625.60, 185,438.40 and 82,072.60

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Solution

The fourth proportional to 123,625.60, 185,438.40 and 82,072.60 is: 123,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,625.60 : 185,438.40 = 82,072.60 : x
  2. Step 2: Convert to fraction form
    123,625.60/185,438.40 = 82,072.60/x
  3. Step 3: Cross multiply
    123,625.60x = 185,438.40 × 82,072.60
  4. Step 4: Simplify right side
    123,625.60x = 15,219,411,627.84
  5. Step 5: Solve for x
    x = 15,219,411,627.84/123,625.60
  6. Step 6: Final answer
    x = 123,108.90

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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.