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Finding the Fourth Proportional to 208,122.60, 287,208.12 and 112,629.31

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Solution

The fourth proportional to 208,122.60, 287,208.12 and 112,629.31 is: 155,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,122.60 : 287,208.12 = 112,629.31 : x
  2. Step 2: Convert to fraction form
    208,122.60/287,208.12 = 112,629.31/x
  3. Step 3: Cross multiply
    208,122.60x = 287,208.12 × 112,629.31
  4. Step 4: Simplify right side
    208,122.60x = 32,348,052,382.00
  5. Step 5: Solve for x
    x = 32,348,052,382.00/208,122.60
  6. Step 6: Final answer
    x = 155,427.87

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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.