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Finding the Fourth Proportional to 114,076.97, 170,756.69 and 78,329.09

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Solution

The fourth proportional to 114,076.97, 170,756.69 and 78,329.09 is: 117,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,076.97 : 170,756.69 = 78,329.09 : x
  2. Step 2: Convert to fraction form
    114,076.97/170,756.69 = 78,329.09/x
  3. Step 3: Cross multiply
    114,076.97x = 170,756.69 × 78,329.09
  4. Step 4: Simplify right side
    114,076.97x = 13,375,216,139.11
  5. Step 5: Solve for x
    x = 13,375,216,139.11/114,076.97
  6. Step 6: Final answer
    x = 117,247.29

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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.