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Finding the Fourth Proportional to 208,085, 287,155.24 and 112,589.60

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Solution

The fourth proportional to 208,085, 287,155.24 and 112,589.60 is: 155,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,085 : 287,155.24 = 112,589.60 : x
  2. Step 2: Convert to fraction form
    208,085/287,155.24 = 112,589.60/x
  3. Step 3: Cross multiply
    208,085x = 287,155.24 × 112,589.60
  4. Step 4: Simplify right side
    208,085x = 32,330,693,609.50
  5. Step 5: Solve for x
    x = 32,330,693,609.50/208,085
  6. Step 6: Final answer
    x = 155,372.53

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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.