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Finding the Fourth Proportional to 185,711.50, 256,284.84 and 100,828.54

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Solution

The fourth proportional to 185,711.50, 256,284.84 and 100,828.54 is: 139,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,711.50 : 256,284.84 = 100,828.54 : x
  2. Step 2: Convert to fraction form
    185,711.50/256,284.84 = 100,828.54/x
  3. Step 3: Cross multiply
    185,711.50x = 256,284.84 × 100,828.54
  4. Step 4: Simplify right side
    185,711.50x = 25,840,826,241.33
  5. Step 5: Solve for x
    x = 25,840,826,241.33/185,711.50
  6. Step 6: Final answer
    x = 139,145.00

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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.