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Finding the Fourth Proportional to 208,258.85, 287,380.95 and 117,623.90

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Solution

The fourth proportional to 208,258.85, 287,380.95 and 117,623.90 is: 162,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,258.85 : 287,380.95 = 117,623.90 : x
  2. Step 2: Convert to fraction form
    208,258.85/287,380.95 = 117,623.90/x
  3. Step 3: Cross multiply
    208,258.85x = 287,380.95 × 117,623.90
  4. Step 4: Simplify right side
    208,258.85x = 33,802,866,687.80
  5. Step 5: Solve for x
    x = 33,802,866,687.80/208,258.85
  6. Step 6: Final answer
    x = 162,311.79

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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.