Home / 205,912.32-284,164.93-115,267.75

Finding the Fourth Proportional to 205,912.32, 284,164.93 and 115,267.75

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Solution

The fourth proportional to 205,912.32, 284,164.93 and 115,267.75 is: 159,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,912.32 : 284,164.93 = 115,267.75 : x
  2. Step 2: Convert to fraction form
    205,912.32/284,164.93 = 115,267.75/x
  3. Step 3: Cross multiply
    205,912.32x = 284,164.93 × 115,267.75
  4. Step 4: Simplify right side
    205,912.32x = 32,755,051,543.68
  5. Step 5: Solve for x
    x = 32,755,051,543.68/205,912.32
  6. Step 6: Final answer
    x = 159,072.81

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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.