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Finding the Fourth Proportional to 208,789.28, 288,129.98 and 113,295.98

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Solution

The fourth proportional to 208,789.28, 288,129.98 and 113,295.98 is: 156,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,789.28 : 288,129.98 = 113,295.98 : x
  2. Step 2: Convert to fraction form
    208,789.28/288,129.98 = 113,295.98/x
  3. Step 3: Cross multiply
    208,789.28x = 288,129.98 × 113,295.98
  4. Step 4: Simplify right side
    208,789.28x = 32,643,968,451.48
  5. Step 5: Solve for x
    x = 32,643,968,451.48/208,789.28
  6. Step 6: Final answer
    x = 156,348.87

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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.