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Finding the Fourth Proportional to 208,147.77, 287,244.78 and 112,654.44

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Solution

The fourth proportional to 208,147.77, 287,244.78 and 112,654.44 is: 155,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,147.77 : 287,244.78 = 112,654.44 : x
  2. Step 2: Convert to fraction form
    208,147.77/287,244.78 = 112,654.44/x
  3. Step 3: Cross multiply
    208,147.77x = 287,244.78 × 112,654.44
  4. Step 4: Simplify right side
    208,147.77x = 32,359,399,833.82
  5. Step 5: Solve for x
    x = 32,359,399,833.82/208,147.77
  6. Step 6: Final answer
    x = 155,463.59

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1.5x scale

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.