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Finding the Fourth Proportional to 131,014.60, 180,771.26 and 83,338

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Solution

The fourth proportional to 131,014.60, 180,771.26 and 83,338 is: 114,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,014.60 : 180,771.26 = 83,338 : x
  2. Step 2: Convert to fraction form
    131,014.60/180,771.26 = 83,338/x
  3. Step 3: Cross multiply
    131,014.60x = 180,771.26 × 83,338
  4. Step 4: Simplify right side
    131,014.60x = 15,065,115,265.88
  5. Step 5: Solve for x
    x = 15,065,115,265.88/131,014.60
  6. Step 6: Final answer
    x = 114,988.06

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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.