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Finding the Fourth Proportional to 208,509.36, 287,743.22 and 113,016.03

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Solution

The fourth proportional to 208,509.36, 287,743.22 and 113,016.03 is: 155,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.36 : 287,743.22 = 113,016.03 : x
  2. Step 2: Convert to fraction form
    208,509.36/287,743.22 = 113,016.03/x
  3. Step 3: Cross multiply
    208,509.36x = 287,743.22 × 113,016.03
  4. Step 4: Simplify right side
    208,509.36x = 32,519,596,383.82
  5. Step 5: Solve for x
    x = 32,519,596,383.82/208,509.36
  6. Step 6: Final answer
    x = 155,962.29

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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.