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Finding the Fourth Proportional to 208,581.96, 287,737 and 131,971.84

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Solution

The fourth proportional to 208,581.96, 287,737 and 131,971.84 is: 182,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,581.96 : 287,737 = 131,971.84 : x
  2. Step 2: Convert to fraction form
    208,581.96/287,737 = 131,971.84/x
  3. Step 3: Cross multiply
    208,581.96x = 287,737 × 131,971.84
  4. Step 4: Simplify right side
    208,581.96x = 37,973,181,326.08
  5. Step 5: Solve for x
    x = 37,973,181,326.08/208,581.96
  6. Step 6: Final answer
    x = 182,054.01

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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.