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Finding the Fourth Proportional to 208,835.82, 288,186.12 and 113,340.60

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Solution

The fourth proportional to 208,835.82, 288,186.12 and 113,340.60 is: 156,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,835.82 : 288,186.12 = 113,340.60 : x
  2. Step 2: Convert to fraction form
    208,835.82/288,186.12 = 113,340.60/x
  3. Step 3: Cross multiply
    208,835.82x = 288,186.12 × 113,340.60
  4. Step 4: Simplify right side
    208,835.82x = 32,663,187,752.47
  5. Step 5: Solve for x
    x = 32,663,187,752.47/208,835.82
  6. Step 6: Final answer
    x = 156,406.06

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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.