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Finding the Fourth Proportional to 208,586.88, 287,848.20 and 117,960.66

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Solution

The fourth proportional to 208,586.88, 287,848.20 and 117,960.66 is: 162,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,586.88 : 287,848.20 = 117,960.66 : x
  2. Step 2: Convert to fraction form
    208,586.88/287,848.20 = 117,960.66/x
  3. Step 3: Cross multiply
    208,586.88x = 287,848.20 × 117,960.66
  4. Step 4: Simplify right side
    208,586.88x = 33,954,763,651.81
  5. Step 5: Solve for x
    x = 33,954,763,651.81/208,586.88
  6. Step 6: Final answer
    x = 162,784.75

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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.