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Finding the Fourth Proportional to 202,920.90, 280,039.10 and 112,275.39

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Solution

The fourth proportional to 202,920.90, 280,039.10 and 112,275.39 is: 154,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920.90 : 280,039.10 = 112,275.39 : x
  2. Step 2: Convert to fraction form
    202,920.90/280,039.10 = 112,275.39/x
  3. Step 3: Cross multiply
    202,920.90x = 280,039.10 × 112,275.39
  4. Step 4: Simplify right side
    202,920.90x = 31,441,498,606.37
  5. Step 5: Solve for x
    x = 31,441,498,606.37/202,920.90
  6. Step 6: Final answer
    x = 154,944.60

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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.