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Finding the Fourth Proportional to 208,228.40, 287,351.72 and 112,734.32

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Solution

The fourth proportional to 208,228.40, 287,351.72 and 112,734.32 is: 155,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,228.40 : 287,351.72 = 112,734.32 : x
  2. Step 2: Convert to fraction form
    208,228.40/287,351.72 = 112,734.32/x
  3. Step 3: Cross multiply
    208,228.40x = 287,351.72 × 112,734.32
  4. Step 4: Simplify right side
    208,228.40x = 32,394,400,755.03
  5. Step 5: Solve for x
    x = 32,394,400,755.03/208,228.40
  6. Step 6: Final answer
    x = 155,571.48

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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.