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Finding the Fourth Proportional to 136,647.40, 188,572.93 and 76,218

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Solution

The fourth proportional to 136,647.40, 188,572.93 and 76,218 is: 105,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,647.40 : 188,572.93 = 76,218 : x
  2. Step 2: Convert to fraction form
    136,647.40/188,572.93 = 76,218/x
  3. Step 3: Cross multiply
    136,647.40x = 188,572.93 × 76,218
  4. Step 4: Simplify right side
    136,647.40x = 14,372,651,578.74
  5. Step 5: Solve for x
    x = 14,372,651,578.74/136,647.40
  6. Step 6: Final answer
    x = 105,180.57

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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.