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Finding the Fourth Proportional to 208,597.41, 287,861.65 and 113,102.06

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Solution

The fourth proportional to 208,597.41, 287,861.65 and 113,102.06 is: 156,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,597.41 : 287,861.65 = 113,102.06 : x
  2. Step 2: Convert to fraction form
    208,597.41/287,861.65 = 113,102.06/x
  3. Step 3: Cross multiply
    208,597.41x = 287,861.65 × 113,102.06
  4. Step 4: Simplify right side
    208,597.41x = 32,557,743,887.94
  5. Step 5: Solve for x
    x = 32,557,743,887.94/208,597.41
  6. Step 6: Final answer
    x = 156,079.33

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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.