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Finding the Fourth Proportional to 208,695.70, 287,999.04 and 116,815.42

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Solution

The fourth proportional to 208,695.70, 287,999.04 and 116,815.42 is: 161,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,695.70 : 287,999.04 = 116,815.42 : x
  2. Step 2: Convert to fraction form
    208,695.70/287,999.04 = 116,815.42/x
  3. Step 3: Cross multiply
    208,695.70x = 287,999.04 × 116,815.42
  4. Step 4: Simplify right side
    208,695.70x = 33,642,728,817.20
  5. Step 5: Solve for x
    x = 33,642,728,817.20/208,695.70
  6. Step 6: Final answer
    x = 161,204.71

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1.5x scale

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.