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Finding the Fourth Proportional to 208,242.88, 287,357.48 and 122,192.96

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Solution

The fourth proportional to 208,242.88, 287,357.48 and 122,192.96 is: 168,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,242.88 : 287,357.48 = 122,192.96 : x
  2. Step 2: Convert to fraction form
    208,242.88/287,357.48 = 122,192.96/x
  3. Step 3: Cross multiply
    208,242.88x = 287,357.48 × 122,192.96
  4. Step 4: Simplify right side
    208,242.88x = 35,113,061,059.34
  5. Step 5: Solve for x
    x = 35,113,061,059.34/208,242.88
  6. Step 6: Final answer
    x = 168,615.90

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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.