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Finding the Fourth Proportional to 243,720, 336,379.68 and 137,736

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Solution

The fourth proportional to 243,720, 336,379.68 and 137,736 is: 190,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,720 : 336,379.68 = 137,736 : x
  2. Step 2: Convert to fraction form
    243,720/336,379.68 = 137,736/x
  3. Step 3: Cross multiply
    243,720x = 336,379.68 × 137,736
  4. Step 4: Simplify right side
    243,720x = 46,331,591,604.48
  5. Step 5: Solve for x
    x = 46,331,591,604.48/243,720
  6. Step 6: Final answer
    x = 190,101.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.