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Finding the Fourth Proportional to 203,399.60, 280,803.16 and 138,965.72

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Solution

The fourth proportional to 203,399.60, 280,803.16 and 138,965.72 is: 191,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,399.60 : 280,803.16 = 138,965.72 : x
  2. Step 2: Convert to fraction form
    203,399.60/280,803.16 = 138,965.72/x
  3. Step 3: Cross multiply
    203,399.60x = 280,803.16 × 138,965.72
  4. Step 4: Simplify right side
    203,399.60x = 39,022,013,307.68
  5. Step 5: Solve for x
    x = 39,022,013,307.68/203,399.60
  6. Step 6: Final answer
    x = 191,849.02

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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.