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Finding the Fourth Proportional to 208,471.52, 287,682.99 and 112,976.17

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Solution

The fourth proportional to 208,471.52, 287,682.99 and 112,976.17 is: 155,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,471.52 : 287,682.99 = 112,976.17 : x
  2. Step 2: Convert to fraction form
    208,471.52/287,682.99 = 112,976.17/x
  3. Step 3: Cross multiply
    208,471.52x = 287,682.99 × 112,976.17
  4. Step 4: Simplify right side
    208,471.52x = 32,501,321,876.97
  5. Step 5: Solve for x
    x = 32,501,321,876.97/208,471.52
  6. Step 6: Final answer
    x = 155,902.93

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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.