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Finding the Fourth Proportional to 208,470.28, 287,689.23 and 112,976.97

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Solution

The fourth proportional to 208,470.28, 287,689.23 and 112,976.97 is: 155,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,470.28 : 287,689.23 = 112,976.97 : x
  2. Step 2: Convert to fraction form
    208,470.28/287,689.23 = 112,976.97/x
  3. Step 3: Cross multiply
    208,470.28x = 287,689.23 × 112,976.97
  4. Step 4: Simplify right side
    208,470.28x = 32,502,257,507.03
  5. Step 5: Solve for x
    x = 32,502,257,507.03/208,470.28
  6. Step 6: Final answer
    x = 155,908.35

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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.