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Finding the Fourth Proportional to 208,458.88, 287,671.31 and 112,966.36

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Solution

The fourth proportional to 208,458.88, 287,671.31 and 112,966.36 is: 155,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,458.88 : 287,671.31 = 112,966.36 : x
  2. Step 2: Convert to fraction form
    208,458.88/287,671.31 = 112,966.36/x
  3. Step 3: Cross multiply
    208,458.88x = 287,671.31 × 112,966.36
  4. Step 4: Simplify right side
    208,458.88x = 32,497,180,202.30
  5. Step 5: Solve for x
    x = 32,497,180,202.30/208,458.88
  6. Step 6: Final answer
    x = 155,892.52

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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.