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Finding the Fourth Proportional to 208,086.72, 287,163.36 and 117,460.80

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Solution

The fourth proportional to 208,086.72, 287,163.36 and 117,460.80 is: 162,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.72 : 287,163.36 = 117,460.80 : x
  2. Step 2: Convert to fraction form
    208,086.72/287,163.36 = 117,460.80/x
  3. Step 3: Cross multiply
    208,086.72x = 287,163.36 × 117,460.80
  4. Step 4: Simplify right side
    208,086.72x = 33,730,437,996.29
  5. Step 5: Solve for x
    x = 33,730,437,996.29/208,086.72
  6. Step 6: Final answer
    x = 162,097.98

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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.