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Finding the Fourth Proportional to 136,693.40, 205,097.70 and 74,408.60

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Solution

The fourth proportional to 136,693.40, 205,097.70 and 74,408.60 is: 111,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,693.40 : 205,097.70 = 74,408.60 : x
  2. Step 2: Convert to fraction form
    136,693.40/205,097.70 = 74,408.60/x
  3. Step 3: Cross multiply
    136,693.40x = 205,097.70 × 74,408.60
  4. Step 4: Simplify right side
    136,693.40x = 15,261,032,720.22
  5. Step 5: Solve for x
    x = 15,261,032,720.22/136,693.40
  6. Step 6: Final answer
    x = 111,644.25

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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.