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Finding the Fourth Proportional to 136,162, 204,118.48 and 57,281.80

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Solution

The fourth proportional to 136,162, 204,118.48 and 57,281.80 is: 85,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,162 : 204,118.48 = 57,281.80 : x
  2. Step 2: Convert to fraction form
    136,162/204,118.48 = 57,281.80/x
  3. Step 3: Cross multiply
    136,162x = 204,118.48 × 57,281.80
  4. Step 4: Simplify right side
    136,162x = 11,692,273,947.66
  5. Step 5: Solve for x
    x = 11,692,273,947.66/136,162
  6. Step 6: Final answer
    x = 85,870.32

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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.