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Finding the Fourth Proportional to 100,186.52, 138,256.42 and 54,245.94

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Solution

The fourth proportional to 100,186.52, 138,256.42 and 54,245.94 is: 74,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186.52 : 138,256.42 = 54,245.94 : x
  2. Step 2: Convert to fraction form
    100,186.52/138,256.42 = 54,245.94/x
  3. Step 3: Cross multiply
    100,186.52x = 138,256.42 × 54,245.94
  4. Step 4: Simplify right side
    100,186.52x = 7,499,849,463.93
  5. Step 5: Solve for x
    x = 7,499,849,463.93/100,186.52
  6. Step 6: Final answer
    x = 74,858.87

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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.