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Finding the Fourth Proportional to 202,992.72, 280,156.13 and 122,463.74

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Solution

The fourth proportional to 202,992.72, 280,156.13 and 122,463.74 is: 169,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992.72 : 280,156.13 = 122,463.74 : x
  2. Step 2: Convert to fraction form
    202,992.72/280,156.13 = 122,463.74/x
  3. Step 3: Cross multiply
    202,992.72x = 280,156.13 × 122,463.74
  4. Step 4: Simplify right side
    202,992.72x = 34,308,965,450.63
  5. Step 5: Solve for x
    x = 34,308,965,450.63/202,992.72
  6. Step 6: Final answer
    x = 169,015.74

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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.