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Finding the Fourth Proportional to 208,568.12, 287,838.76 and 117,924.98

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Solution

The fourth proportional to 208,568.12, 287,838.76 and 117,924.98 is: 162,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,568.12 : 287,838.76 = 117,924.98 : x
  2. Step 2: Convert to fraction form
    208,568.12/287,838.76 = 117,924.98/x
  3. Step 3: Cross multiply
    208,568.12x = 287,838.76 × 117,924.98
  4. Step 4: Simplify right side
    208,568.12x = 33,943,380,016.22
  5. Step 5: Solve for x
    x = 33,943,380,016.22/208,568.12
  6. Step 6: Final answer
    x = 162,744.81

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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.