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Finding the Fourth Proportional to 208,800.68, 288,145.20 and 113,309

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Solution

The fourth proportional to 208,800.68, 288,145.20 and 113,309 is: 156,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,800.68 : 288,145.20 = 113,309 : x
  2. Step 2: Convert to fraction form
    208,800.68/288,145.20 = 113,309/x
  3. Step 3: Cross multiply
    208,800.68x = 288,145.20 × 113,309
  4. Step 4: Simplify right side
    208,800.68x = 32,649,444,466.80
  5. Step 5: Solve for x
    x = 32,649,444,466.80/208,800.68
  6. Step 6: Final answer
    x = 156,366.56

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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.