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Finding the Fourth Proportional to 140,146.00, 209,688.41 and 85,917.80

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Solution

The fourth proportional to 140,146.00, 209,688.41 and 85,917.80 is: 128,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,146.00 : 209,688.41 = 85,917.80 : x
  2. Step 2: Convert to fraction form
    140,146.00/209,688.41 = 85,917.80/x
  3. Step 3: Cross multiply
    140,146.00x = 209,688.41 × 85,917.80
  4. Step 4: Simplify right side
    140,146.00x = 18,015,967,611.71
  5. Step 5: Solve for x
    x = 18,015,967,611.71/140,146.00
  6. Step 6: Final answer
    x = 128,551.42

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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.