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Finding the Fourth Proportional to 208,911.30, 288,379.89 and 140,968.50

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Solution

The fourth proportional to 208,911.30, 288,379.89 and 140,968.50 is: 194,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911.30 : 288,379.89 = 140,968.50 : x
  2. Step 2: Convert to fraction form
    208,911.30/288,379.89 = 140,968.50/x
  3. Step 3: Cross multiply
    208,911.30x = 288,379.89 × 140,968.50
  4. Step 4: Simplify right side
    208,911.30x = 40,652,480,523.47
  5. Step 5: Solve for x
    x = 40,652,480,523.47/208,911.30
  6. Step 6: Final answer
    x = 194,592.06

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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.