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Finding the Fourth Proportional to 208,342.56, 287,512.92 and 112,849.50

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Solution

The fourth proportional to 208,342.56, 287,512.92 and 112,849.50 is: 155,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,342.56 : 287,512.92 = 112,849.50 : x
  2. Step 2: Convert to fraction form
    208,342.56/287,512.92 = 112,849.50/x
  3. Step 3: Cross multiply
    208,342.56x = 287,512.92 × 112,849.50
  4. Step 4: Simplify right side
    208,342.56x = 32,445,689,265.54
  5. Step 5: Solve for x
    x = 32,445,689,265.54/208,342.56
  6. Step 6: Final answer
    x = 155,732.41

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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.