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Finding the Fourth Proportional to 202,921.90, 280,040.48 and 112,276.39

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Solution

The fourth proportional to 202,921.90, 280,040.48 and 112,276.39 is: 154,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,921.90 : 280,040.48 = 112,276.39 : x
  2. Step 2: Convert to fraction form
    202,921.90/280,040.48 = 112,276.39/x
  3. Step 3: Cross multiply
    202,921.90x = 280,040.48 × 112,276.39
  4. Step 4: Simplify right side
    202,921.90x = 31,441,934,148.27
  5. Step 5: Solve for x
    x = 31,441,934,148.27/202,921.90
  6. Step 6: Final answer
    x = 154,945.99

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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.