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Finding the Fourth Proportional to 203,486.46, 280,777.08 and 135,604.77

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Solution

The fourth proportional to 203,486.46, 280,777.08 and 135,604.77 is: 187,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.46 : 280,777.08 = 135,604.77 : x
  2. Step 2: Convert to fraction form
    203,486.46/280,777.08 = 135,604.77/x
  3. Step 3: Cross multiply
    203,486.46x = 280,777.08 × 135,604.77
  4. Step 4: Simplify right side
    203,486.46x = 38,074,711,354.67
  5. Step 5: Solve for x
    x = 38,074,711,354.67/203,486.46
  6. Step 6: Final answer
    x = 187,111.77

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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.