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Finding the Fourth Proportional to 208,473.96, 287,693.34 and 112,983

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Solution

The fourth proportional to 208,473.96, 287,693.34 and 112,983 is: 155,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,473.96 : 287,693.34 = 112,983 : x
  2. Step 2: Convert to fraction form
    208,473.96/287,693.34 = 112,983/x
  3. Step 3: Cross multiply
    208,473.96x = 287,693.34 × 112,983
  4. Step 4: Simplify right side
    208,473.96x = 32,504,456,633.22
  5. Step 5: Solve for x
    x = 32,504,456,633.22/208,473.96
  6. Step 6: Final answer
    x = 155,916.15

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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.