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Finding the Fourth Proportional to 208,510.73, 287,741.69 and 117,863.50

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Solution

The fourth proportional to 208,510.73, 287,741.69 and 117,863.50 is: 162,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,510.73 : 287,741.69 = 117,863.50 : x
  2. Step 2: Convert to fraction form
    208,510.73/287,741.69 = 117,863.50/x
  3. Step 3: Cross multiply
    208,510.73x = 287,741.69 × 117,863.50
  4. Step 4: Simplify right side
    208,510.73x = 33,914,242,679.32
  5. Step 5: Solve for x
    x = 33,914,242,679.32/208,510.73
  6. Step 6: Final answer
    x = 162,649.87

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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.