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Finding the Fourth Proportional to 208,138, 287,229.90 and 112,644.67

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Solution

The fourth proportional to 208,138, 287,229.90 and 112,644.67 is: 155,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,138 : 287,229.90 = 112,644.67 : x
  2. Step 2: Convert to fraction form
    208,138/287,229.90 = 112,644.67/x
  3. Step 3: Cross multiply
    208,138x = 287,229.90 × 112,644.67
  4. Step 4: Simplify right side
    208,138x = 32,354,917,299.63
  5. Step 5: Solve for x
    x = 32,354,917,299.63/208,138
  6. Step 6: Final answer
    x = 155,449.35

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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.