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Finding the Fourth Proportional to 109,843.80, 164,765.70 and 83,599.80

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Solution

The fourth proportional to 109,843.80, 164,765.70 and 83,599.80 is: 125,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,843.80 : 164,765.70 = 83,599.80 : x
  2. Step 2: Convert to fraction form
    109,843.80/164,765.70 = 83,599.80/x
  3. Step 3: Cross multiply
    109,843.80x = 164,765.70 × 83,599.80
  4. Step 4: Simplify right side
    109,843.80x = 13,774,379,566.86
  5. Step 5: Solve for x
    x = 13,774,379,566.86/109,843.80
  6. Step 6: Final answer
    x = 125,399.70

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1.5x scale

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.