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Finding the Fourth Proportional to 185,442.74, 255,912.59 and 100,559.81

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Solution

The fourth proportional to 185,442.74, 255,912.59 and 100,559.81 is: 138,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,442.74 : 255,912.59 = 100,559.81 : x
  2. Step 2: Convert to fraction form
    185,442.74/255,912.59 = 100,559.81/x
  3. Step 3: Cross multiply
    185,442.74x = 255,912.59 × 100,559.81
  4. Step 4: Simplify right side
    185,442.74x = 25,734,519,644.65
  5. Step 5: Solve for x
    x = 25,734,519,644.65/185,442.74
  6. Step 6: Final answer
    x = 138,773.40

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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.