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Finding the Fourth Proportional to 202,985.75, 280,111.72 and 112,333.23

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Solution

The fourth proportional to 202,985.75, 280,111.72 and 112,333.23 is: 155,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,985.75 : 280,111.72 = 112,333.23 : x
  2. Step 2: Convert to fraction form
    202,985.75/280,111.72 = 112,333.23/x
  3. Step 3: Cross multiply
    202,985.75x = 280,111.72 × 112,333.23
  4. Step 4: Simplify right side
    202,985.75x = 31,465,854,198.25
  5. Step 5: Solve for x
    x = 31,465,854,198.25/202,985.75
  6. Step 6: Final answer
    x = 155,015.09

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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.