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Finding the Fourth Proportional to 208,493.31, 287,721.23 and 112,999.98

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Solution

The fourth proportional to 208,493.31, 287,721.23 and 112,999.98 is: 155,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,493.31 : 287,721.23 = 112,999.98 : x
  2. Step 2: Convert to fraction form
    208,493.31/287,721.23 = 112,999.98/x
  3. Step 3: Cross multiply
    208,493.31x = 287,721.23 × 112,999.98
  4. Step 4: Simplify right side
    208,493.31x = 32,512,492,670.58
  5. Step 5: Solve for x
    x = 32,512,492,670.58/208,493.31
  6. Step 6: Final answer
    x = 155,940.22

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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.