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Finding the Fourth Proportional to 208,290.58, 287,440.59 and 112,796.98

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Solution

The fourth proportional to 208,290.58, 287,440.59 and 112,796.98 is: 155,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,290.58 : 287,440.59 = 112,796.98 : x
  2. Step 2: Convert to fraction form
    208,290.58/287,440.59 = 112,796.98/x
  3. Step 3: Cross multiply
    208,290.58x = 287,440.59 × 112,796.98
  4. Step 4: Simplify right side
    208,290.58x = 32,422,430,481.42
  5. Step 5: Solve for x
    x = 32,422,430,481.42/208,290.58
  6. Step 6: Final answer
    x = 155,659.61

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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.