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Finding the Fourth Proportional to 208,387.94, 287,573.56 and 112,894.41

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Solution

The fourth proportional to 208,387.94, 287,573.56 and 112,894.41 is: 155,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,387.94 : 287,573.56 = 112,894.41 : x
  2. Step 2: Convert to fraction form
    208,387.94/287,573.56 = 112,894.41/x
  3. Step 3: Cross multiply
    208,387.94x = 287,573.56 × 112,894.41
  4. Step 4: Simplify right side
    208,387.94x = 32,465,448,017.70
  5. Step 5: Solve for x
    x = 32,465,448,017.70/208,387.94
  6. Step 6: Final answer
    x = 155,793.31

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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.