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Finding the Fourth Proportional to 203,262, 280,501.56 and 113,838

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Solution

The fourth proportional to 203,262, 280,501.56 and 113,838 is: 157,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,262 : 280,501.56 = 113,838 : x
  2. Step 2: Convert to fraction form
    203,262/280,501.56 = 113,838/x
  3. Step 3: Cross multiply
    203,262x = 280,501.56 × 113,838
  4. Step 4: Simplify right side
    203,262x = 31,931,736,587.28
  5. Step 5: Solve for x
    x = 31,931,736,587.28/203,262
  6. Step 6: Final answer
    x = 157,096.44

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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.