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Finding the Fourth Proportional to 202,961.64, 280,087.61 and 112,323.86

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Solution

The fourth proportional to 202,961.64, 280,087.61 and 112,323.86 is: 155,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.64 : 280,087.61 = 112,323.86 : x
  2. Step 2: Convert to fraction form
    202,961.64/280,087.61 = 112,323.86/x
  3. Step 3: Cross multiply
    202,961.64x = 280,087.61 × 112,323.86
  4. Step 4: Simplify right side
    202,961.64x = 31,460,520,477.70
  5. Step 5: Solve for x
    x = 31,460,520,477.70/202,961.64
  6. Step 6: Final answer
    x = 155,007.22

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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.