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Finding the Fourth Proportional to 123,310.80, 184,966.20 and 40,204.80

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Solution

The fourth proportional to 123,310.80, 184,966.20 and 40,204.80 is: 60,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,310.80 : 184,966.20 = 40,204.80 : x
  2. Step 2: Convert to fraction form
    123,310.80/184,966.20 = 40,204.80/x
  3. Step 3: Cross multiply
    123,310.80x = 184,966.20 × 40,204.80
  4. Step 4: Simplify right side
    123,310.80x = 7,436,529,077.76
  5. Step 5: Solve for x
    x = 7,436,529,077.76/123,310.80
  6. Step 6: Final answer
    x = 60,307.20

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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.