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Finding the Fourth Proportional to 203,261, 280,500.18 and 113,837

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Solution

The fourth proportional to 203,261, 280,500.18 and 113,837 is: 157,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,261 : 280,500.18 = 113,837 : x
  2. Step 2: Convert to fraction form
    203,261/280,500.18 = 113,837/x
  3. Step 3: Cross multiply
    203,261x = 280,500.18 × 113,837
  4. Step 4: Simplify right side
    203,261x = 31,931,298,990.66
  5. Step 5: Solve for x
    x = 31,931,298,990.66/203,261
  6. Step 6: Final answer
    x = 157,095.06

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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.