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Finding the Fourth Proportional to 100,592.88, 138,817.44 and 54,652.11

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Solution

The fourth proportional to 100,592.88, 138,817.44 and 54,652.11 is: 75,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,592.88 : 138,817.44 = 54,652.11 : x
  2. Step 2: Convert to fraction form
    100,592.88/138,817.44 = 54,652.11/x
  3. Step 3: Cross multiply
    100,592.88x = 138,817.44 × 54,652.11
  4. Step 4: Simplify right side
    100,592.88x = 7,586,666,000.80
  5. Step 5: Solve for x
    x = 7,586,666,000.80/100,592.88
  6. Step 6: Final answer
    x = 75,419.51

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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.