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Finding the Fourth Proportional to 123,077.80, 184,470.90 and 91,876.60

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Solution

The fourth proportional to 123,077.80, 184,470.90 and 91,876.60 is: 137,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,077.80 : 184,470.90 = 91,876.60 : x
  2. Step 2: Convert to fraction form
    123,077.80/184,470.90 = 91,876.60/x
  3. Step 3: Cross multiply
    123,077.80x = 184,470.90 × 91,876.60
  4. Step 4: Simplify right side
    123,077.80x = 16,948,559,090.94
  5. Step 5: Solve for x
    x = 16,948,559,090.94/123,077.80
  6. Step 6: Final answer
    x = 137,706.06

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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.