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Finding the Fourth Proportional to 208,361.21, 287,538.44 and 112,867.88

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Solution

The fourth proportional to 208,361.21, 287,538.44 and 112,867.88 is: 155,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,361.21 : 287,538.44 = 112,867.88 : x
  2. Step 2: Convert to fraction form
    208,361.21/287,538.44 = 112,867.88/x
  3. Step 3: Cross multiply
    208,361.21x = 287,538.44 × 112,867.88
  4. Step 4: Simplify right side
    208,361.21x = 32,453,852,703.62
  5. Step 5: Solve for x
    x = 32,453,852,703.62/208,361.21
  6. Step 6: Final answer
    x = 155,757.66

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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.