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Finding the Fourth Proportional to 208,508.58, 287,742.35 and 113,015.18

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Solution

The fourth proportional to 208,508.58, 287,742.35 and 113,015.18 is: 155,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,508.58 : 287,742.35 = 113,015.18 : x
  2. Step 2: Convert to fraction form
    208,508.58/287,742.35 = 113,015.18/x
  3. Step 3: Cross multiply
    208,508.58x = 287,742.35 × 113,015.18
  4. Step 4: Simplify right side
    208,508.58x = 32,519,253,478.87
  5. Step 5: Solve for x
    x = 32,519,253,478.87/208,508.58
  6. Step 6: Final answer
    x = 155,961.22

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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.