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Finding the Fourth Proportional to 100,069.50, 138,096.45 and 54,748.02

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Solution

The fourth proportional to 100,069.50, 138,096.45 and 54,748.02 is: 75,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,069.50 : 138,096.45 = 54,748.02 : x
  2. Step 2: Convert to fraction form
    100,069.50/138,096.45 = 54,748.02/x
  3. Step 3: Cross multiply
    100,069.50x = 138,096.45 × 54,748.02
  4. Step 4: Simplify right side
    100,069.50x = 7,560,507,206.53
  5. Step 5: Solve for x
    x = 7,560,507,206.53/100,069.50
  6. Step 6: Final answer
    x = 75,552.56

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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.