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Finding the Fourth Proportional to 100,205.83, 138,285.62 and 54,883.00

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Solution

The fourth proportional to 100,205.83, 138,285.62 and 54,883.00 is: 75,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205.83 : 138,285.62 = 54,883.00 : x
  2. Step 2: Convert to fraction form
    100,205.83/138,285.62 = 54,883.00/x
  3. Step 3: Cross multiply
    100,205.83x = 138,285.62 × 54,883.00
  4. Step 4: Simplify right side
    100,205.83x = 7,589,529,473.95
  5. Step 5: Solve for x
    x = 7,589,529,473.95/100,205.83
  6. Step 6: Final answer
    x = 75,739.40

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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.