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Finding the Fourth Proportional to 201,580.32, 278,192.34 and 115,553.64

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Solution

The fourth proportional to 201,580.32, 278,192.34 and 115,553.64 is: 159,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,580.32 : 278,192.34 = 115,553.64 : x
  2. Step 2: Convert to fraction form
    201,580.32/278,192.34 = 115,553.64/x
  3. Step 3: Cross multiply
    201,580.32x = 278,192.34 × 115,553.64
  4. Step 4: Simplify right side
    201,580.32x = 32,146,137,507.12
  5. Step 5: Solve for x
    x = 32,146,137,507.12/201,580.32
  6. Step 6: Final answer
    x = 159,470.61

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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.