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Finding the Fourth Proportional to 208,498.53, 287,720.19 and 113,003.19

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Solution

The fourth proportional to 208,498.53, 287,720.19 and 113,003.19 is: 155,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,498.53 : 287,720.19 = 113,003.19 : x
  2. Step 2: Convert to fraction form
    208,498.53/287,720.19 = 113,003.19/x
  3. Step 3: Cross multiply
    208,498.53x = 287,720.19 × 113,003.19
  4. Step 4: Simplify right side
    208,498.53x = 32,513,299,297.41
  5. Step 5: Solve for x
    x = 32,513,299,297.41/208,498.53
  6. Step 6: Final answer
    x = 155,940.18

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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.