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Finding the Fourth Proportional to 208,481.14, 287,703.93 and 112,987.83

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Solution

The fourth proportional to 208,481.14, 287,703.93 and 112,987.83 is: 155,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,481.14 : 287,703.93 = 112,987.83 : x
  2. Step 2: Convert to fraction form
    208,481.14/287,703.93 = 112,987.83/x
  3. Step 3: Cross multiply
    208,481.14x = 287,703.93 × 112,987.83
  4. Step 4: Simplify right side
    208,481.14x = 32,507,042,733.17
  5. Step 5: Solve for x
    x = 32,507,042,733.17/208,481.14
  6. Step 6: Final answer
    x = 155,923.18

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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.