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Finding the Fourth Proportional to 208,449.49, 287,665.86 and 126,749.56

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Solution

The fourth proportional to 208,449.49, 287,665.86 and 126,749.56 is: 174,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,449.49 : 287,665.86 = 126,749.56 : x
  2. Step 2: Convert to fraction form
    208,449.49/287,665.86 = 126,749.56/x
  3. Step 3: Cross multiply
    208,449.49x = 287,665.86 × 126,749.56
  4. Step 4: Simplify right side
    208,449.49x = 36,461,521,182.02
  5. Step 5: Solve for x
    x = 36,461,521,182.02/208,449.49
  6. Step 6: Final answer
    x = 174,917.78

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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.