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Finding the Fourth Proportional to 208,149.24, 287,223.87 and 117,499.46

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Solution

The fourth proportional to 208,149.24, 287,223.87 and 117,499.46 is: 162,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,149.24 : 287,223.87 = 117,499.46 : x
  2. Step 2: Convert to fraction form
    208,149.24/287,223.87 = 117,499.46/x
  3. Step 3: Cross multiply
    208,149.24x = 287,223.87 × 117,499.46
  4. Step 4: Simplify right side
    208,149.24x = 33,748,650,244.25
  5. Step 5: Solve for x
    x = 33,748,650,244.25/208,149.24
  6. Step 6: Final answer
    x = 162,136.79

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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.