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Finding the Fourth Proportional to 208,638.48, 287,933.28 and 118,002.48

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Solution

The fourth proportional to 208,638.48, 287,933.28 and 118,002.48 is: 162,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,638.48 : 287,933.28 = 118,002.48 : x
  2. Step 2: Convert to fraction form
    208,638.48/287,933.28 = 118,002.48/x
  3. Step 3: Cross multiply
    208,638.48x = 287,933.28 × 118,002.48
  4. Step 4: Simplify right side
    208,638.48x = 33,976,841,114.53
  5. Step 5: Solve for x
    x = 33,976,841,114.53/208,638.48
  6. Step 6: Final answer
    x = 162,850.31

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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.