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Finding the Fourth Proportional to 208,157.52, 287,262.62 and 127,629.44

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Solution

The fourth proportional to 208,157.52, 287,262.62 and 127,629.44 is: 176,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,157.52 : 287,262.62 = 127,629.44 : x
  2. Step 2: Convert to fraction form
    208,157.52/287,262.62 = 127,629.44/x
  3. Step 3: Cross multiply
    208,157.52x = 287,262.62 × 127,629.44
  4. Step 4: Simplify right side
    208,157.52x = 36,663,167,323.53
  5. Step 5: Solve for x
    x = 36,663,167,323.53/208,157.52
  6. Step 6: Final answer
    x = 176,131.84

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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.