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Finding the Fourth Proportional to 208,499.37, 287,743.75 and 117,856.08

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Solution

The fourth proportional to 208,499.37, 287,743.75 and 117,856.08 is: 162,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,499.37 : 287,743.75 = 117,856.08 : x
  2. Step 2: Convert to fraction form
    208,499.37/287,743.75 = 117,856.08/x
  3. Step 3: Cross multiply
    208,499.37x = 287,743.75 × 117,856.08
  4. Step 4: Simplify right side
    208,499.37x = 33,912,348,980.78
  5. Step 5: Solve for x
    x = 33,912,348,980.78/208,499.37
  6. Step 6: Final answer
    x = 162,649.65

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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.