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Finding the Fourth Proportional to 202,912.77, 280,027.87 and 112,267.27

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Solution

The fourth proportional to 202,912.77, 280,027.87 and 112,267.27 is: 154,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,912.77 : 280,027.87 = 112,267.27 : x
  2. Step 2: Convert to fraction form
    202,912.77/280,027.87 = 112,267.27/x
  3. Step 3: Cross multiply
    202,912.77x = 280,027.87 × 112,267.27
  4. Step 4: Simplify right side
    202,912.77x = 31,437,963,088.68
  5. Step 5: Solve for x
    x = 31,437,963,088.68/202,912.77
  6. Step 6: Final answer
    x = 154,933.39

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1.5x scale

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.