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Finding the Fourth Proportional to 208,116.48, 287,213.72 and 117,487.80

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Solution

The fourth proportional to 208,116.48, 287,213.72 and 117,487.80 is: 162,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,116.48 : 287,213.72 = 117,487.80 : x
  2. Step 2: Convert to fraction form
    208,116.48/287,213.72 = 117,487.80/x
  3. Step 3: Cross multiply
    208,116.48x = 287,213.72 × 117,487.80
  4. Step 4: Simplify right side
    208,116.48x = 33,744,108,092.62
  5. Step 5: Solve for x
    x = 33,744,108,092.62/208,116.48
  6. Step 6: Final answer
    x = 162,140.49

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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.