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Finding the Fourth Proportional to 208,680.96, 287,884.08 and 123,767.04

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Solution

The fourth proportional to 208,680.96, 287,884.08 and 123,767.04 is: 170,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,680.96 : 287,884.08 = 123,767.04 : x
  2. Step 2: Convert to fraction form
    208,680.96/287,884.08 = 123,767.04/x
  3. Step 3: Cross multiply
    208,680.96x = 287,884.08 × 123,767.04
  4. Step 4: Simplify right side
    208,680.96x = 35,630,560,444.72
  5. Step 5: Solve for x
    x = 35,630,560,444.72/208,680.96
  6. Step 6: Final answer
    x = 170,741.79

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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.