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Finding the Fourth Proportional to 83,671.78, 115,466.80 and 50,137.78

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Solution

The fourth proportional to 83,671.78, 115,466.80 and 50,137.78 is: 69,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,671.78 : 115,466.80 = 50,137.78 : x
  2. Step 2: Convert to fraction form
    83,671.78/115,466.80 = 50,137.78/x
  3. Step 3: Cross multiply
    83,671.78x = 115,466.80 × 50,137.78
  4. Step 4: Simplify right side
    83,671.78x = 5,789,249,015.70
  5. Step 5: Solve for x
    x = 5,789,249,015.70/83,671.78
  6. Step 6: Final answer
    x = 69,189.98

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1.5x scale

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.