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Finding the Fourth Proportional to 208,597.54, 287,861.82 and 113,102.18

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Solution

The fourth proportional to 208,597.54, 287,861.82 and 113,102.18 is: 156,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,597.54 : 287,861.82 = 113,102.18 : x
  2. Step 2: Convert to fraction form
    208,597.54/287,861.82 = 113,102.18/x
  3. Step 3: Cross multiply
    208,597.54x = 287,861.82 × 113,102.18
  4. Step 4: Simplify right side
    208,597.54x = 32,557,799,380.77
  5. Step 5: Solve for x
    x = 32,557,799,380.77/208,597.54
  6. Step 6: Final answer
    x = 156,079.50

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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.