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Finding the Fourth Proportional to 203,495.14, 280,823.31 and 112,864.96

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Solution

The fourth proportional to 203,495.14, 280,823.31 and 112,864.96 is: 155,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,495.14 : 280,823.31 = 112,864.96 : x
  2. Step 2: Convert to fraction form
    203,495.14/280,823.31 = 112,864.96/x
  3. Step 3: Cross multiply
    203,495.14x = 280,823.31 × 112,864.96
  4. Step 4: Simplify right side
    203,495.14x = 31,695,111,650.22
  5. Step 5: Solve for x
    x = 31,695,111,650.22/203,495.14
  6. Step 6: Final answer
    x = 155,753.65

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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.