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Finding the Fourth Proportional to 208,000.92, 287,016.57 and 117,351.60

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Solution

The fourth proportional to 208,000.92, 287,016.57 and 117,351.60 is: 161,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.92 : 287,016.57 = 117,351.60 : x
  2. Step 2: Convert to fraction form
    208,000.92/287,016.57 = 117,351.60/x
  3. Step 3: Cross multiply
    208,000.92x = 287,016.57 × 117,351.60
  4. Step 4: Simplify right side
    208,000.92x = 33,681,853,716.01
  5. Step 5: Solve for x
    x = 33,681,853,716.01/208,000.92
  6. Step 6: Final answer
    x = 161,931.27

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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.