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Finding the Fourth Proportional to 123,408.60, 185,112.90 and 29,914.35

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Solution

The fourth proportional to 123,408.60, 185,112.90 and 29,914.35 is: 44,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,408.60 : 185,112.90 = 29,914.35 : x
  2. Step 2: Convert to fraction form
    123,408.60/185,112.90 = 29,914.35/x
  3. Step 3: Cross multiply
    123,408.60x = 185,112.90 × 29,914.35
  4. Step 4: Simplify right side
    123,408.60x = 5,537,532,080.12
  5. Step 5: Solve for x
    x = 5,537,532,080.12/123,408.60
  6. Step 6: Final answer
    x = 44,871.53

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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.