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Finding the Fourth Proportional to 208,471.28, 287,690.61 and 112,977.97

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Solution

The fourth proportional to 208,471.28, 287,690.61 and 112,977.97 is: 155,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,471.28 : 287,690.61 = 112,977.97 : x
  2. Step 2: Convert to fraction form
    208,471.28/287,690.61 = 112,977.97/x
  3. Step 3: Cross multiply
    208,471.28x = 287,690.61 × 112,977.97
  4. Step 4: Simplify right side
    208,471.28x = 32,502,701,105.86
  5. Step 5: Solve for x
    x = 32,502,701,105.86/208,471.28
  6. Step 6: Final answer
    x = 155,909.73

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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.