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Finding the Fourth Proportional to 208,411.33, 287,603.86 and 117,765.34

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Solution

The fourth proportional to 208,411.33, 287,603.86 and 117,765.34 is: 162,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,411.33 : 287,603.86 = 117,765.34 : x
  2. Step 2: Convert to fraction form
    208,411.33/287,603.86 = 117,765.34/x
  3. Step 3: Cross multiply
    208,411.33x = 287,603.86 × 117,765.34
  4. Step 4: Simplify right side
    208,411.33x = 33,869,766,358.21
  5. Step 5: Solve for x
    x = 33,869,766,358.21/208,411.33
  6. Step 6: Final answer
    x = 162,514.04

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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.