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Finding the Fourth Proportional to 208,128, 287,217.54 and 112,634.70

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Solution

The fourth proportional to 208,128, 287,217.54 and 112,634.70 is: 155,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,128 : 287,217.54 = 112,634.70 : x
  2. Step 2: Convert to fraction form
    208,128/287,217.54 = 112,634.70/x
  3. Step 3: Cross multiply
    208,128x = 287,217.54 × 112,634.70
  4. Step 4: Simplify right side
    208,128x = 32,350,661,452.64
  5. Step 5: Solve for x
    x = 32,350,661,452.64/208,128
  6. Step 6: Final answer
    x = 155,436.37

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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.