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Finding the Fourth Proportional to 208,641.24, 287,922.87 and 113,146.29

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Solution

The fourth proportional to 208,641.24, 287,922.87 and 113,146.29 is: 156,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,641.24 : 287,922.87 = 113,146.29 : x
  2. Step 2: Convert to fraction form
    208,641.24/287,922.87 = 113,146.29/x
  3. Step 3: Cross multiply
    208,641.24x = 287,922.87 × 113,146.29
  4. Step 4: Simplify right side
    208,641.24x = 32,577,404,546.65
  5. Step 5: Solve for x
    x = 32,577,404,546.65/208,641.24
  6. Step 6: Final answer
    x = 156,140.77

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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.