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Finding the Fourth Proportional to 208,509.92, 287,743.99 and 113,016.59

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Solution

The fourth proportional to 208,509.92, 287,743.99 and 113,016.59 is: 155,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.92 : 287,743.99 = 113,016.59 : x
  2. Step 2: Convert to fraction form
    208,509.92/287,743.99 = 113,016.59/x
  3. Step 3: Cross multiply
    208,509.92x = 287,743.99 × 113,016.59
  4. Step 4: Simplify right side
    208,509.92x = 32,519,844,542.79
  5. Step 5: Solve for x
    x = 32,519,844,542.79/208,509.92
  6. Step 6: Final answer
    x = 155,963.06

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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.