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Finding the Fourth Proportional to 200,705.72, 276,971.60 and 115,820.96

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Solution

The fourth proportional to 200,705.72, 276,971.60 and 115,820.96 is: 159,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,705.72 : 276,971.60 = 115,820.96 : x
  2. Step 2: Convert to fraction form
    200,705.72/276,971.60 = 115,820.96/x
  3. Step 3: Cross multiply
    200,705.72x = 276,971.60 × 115,820.96
  4. Step 4: Simplify right side
    200,705.72x = 32,079,115,509.43
  5. Step 5: Solve for x
    x = 32,079,115,509.43/200,705.72
  6. Step 6: Final answer
    x = 159,831.60

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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.