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Finding the Fourth Proportional to 208,537.54, 287,741.73 and 132,002.80

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Solution

The fourth proportional to 208,537.54, 287,741.73 and 132,002.80 is: 182,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,537.54 : 287,741.73 = 132,002.80 : x
  2. Step 2: Convert to fraction form
    208,537.54/287,741.73 = 132,002.80/x
  3. Step 3: Cross multiply
    208,537.54x = 287,741.73 × 132,002.80
  4. Step 4: Simplify right side
    208,537.54x = 37,982,714,036.84
  5. Step 5: Solve for x
    x = 37,982,714,036.84/208,537.54
  6. Step 6: Final answer
    x = 182,138.50

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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.