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Finding the Fourth Proportional to 100,003.68, 149,832.72 and 53,114.40

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Solution

The fourth proportional to 100,003.68, 149,832.72 and 53,114.40 is: 79,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,003.68 : 149,832.72 = 53,114.40 : x
  2. Step 2: Convert to fraction form
    100,003.68/149,832.72 = 53,114.40/x
  3. Step 3: Cross multiply
    100,003.68x = 149,832.72 × 53,114.40
  4. Step 4: Simplify right side
    100,003.68x = 7,958,275,023.17
  5. Step 5: Solve for x
    x = 7,958,275,023.17/100,003.68
  6. Step 6: Final answer
    x = 79,579.82

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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.