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Finding the Fourth Proportional to 208,129.69, 287,218.97 and 112,636.38

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Solution

The fourth proportional to 208,129.69, 287,218.97 and 112,636.38 is: 155,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.69 : 287,218.97 = 112,636.38 : x
  2. Step 2: Convert to fraction form
    208,129.69/287,218.97 = 112,636.38/x
  3. Step 3: Cross multiply
    208,129.69x = 287,218.97 × 112,636.38
  4. Step 4: Simplify right side
    208,129.69x = 32,351,305,656.72
  5. Step 5: Solve for x
    x = 32,351,305,656.72/208,129.69
  6. Step 6: Final answer
    x = 155,438.21

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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.