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Finding the Fourth Proportional to 208,806.31, 288,152.89 and 113,313

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Solution

The fourth proportional to 208,806.31, 288,152.89 and 113,313 is: 156,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,806.31 : 288,152.89 = 113,313 : x
  2. Step 2: Convert to fraction form
    208,806.31/288,152.89 = 113,313/x
  3. Step 3: Cross multiply
    208,806.31x = 288,152.89 × 113,313
  4. Step 4: Simplify right side
    208,806.31x = 32,651,468,141.29
  5. Step 5: Solve for x
    x = 32,651,468,141.29/208,806.31
  6. Step 6: Final answer
    x = 156,372.04

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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.