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Finding the Fourth Proportional to 208,672.31, 287,974.30 and 118,026.50

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Solution

The fourth proportional to 208,672.31, 287,974.30 and 118,026.50 is: 162,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,672.31 : 287,974.30 = 118,026.50 : x
  2. Step 2: Convert to fraction form
    208,672.31/287,974.30 = 118,026.50/x
  3. Step 3: Cross multiply
    208,672.31x = 287,974.30 × 118,026.50
  4. Step 4: Simplify right side
    208,672.31x = 33,988,599,143.82
  5. Step 5: Solve for x
    x = 33,988,599,143.82/208,672.31
  6. Step 6: Final answer
    x = 162,880.26

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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.