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Finding the Fourth Proportional to 208,138.75, 287,230.94 and 112,645.42

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Solution

The fourth proportional to 208,138.75, 287,230.94 and 112,645.42 is: 155,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,138.75 : 287,230.94 = 112,645.42 : x
  2. Step 2: Convert to fraction form
    208,138.75/287,230.94 = 112,645.42/x
  3. Step 3: Cross multiply
    208,138.75x = 287,230.94 × 112,645.42
  4. Step 4: Simplify right side
    208,138.75x = 32,355,249,310.07
  5. Step 5: Solve for x
    x = 32,355,249,310.07/208,138.75
  6. Step 6: Final answer
    x = 155,450.39

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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.