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Finding the Fourth Proportional to 83,139.44, 114,738.21 and 47,329.44

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Solution

The fourth proportional to 83,139.44, 114,738.21 and 47,329.44 is: 65,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,139.44 : 114,738.21 = 47,329.44 : x
  2. Step 2: Convert to fraction form
    83,139.44/114,738.21 = 47,329.44/x
  3. Step 3: Cross multiply
    83,139.44x = 114,738.21 × 47,329.44
  4. Step 4: Simplify right side
    83,139.44x = 5,430,495,225.90
  5. Step 5: Solve for x
    x = 5,430,495,225.90/83,139.44
  6. Step 6: Final answer
    x = 65,317.92

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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.