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Finding the Fourth Proportional to 138,702.58, 208,055.25 and 43,930.96

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Solution

The fourth proportional to 138,702.58, 208,055.25 and 43,930.96 is: 65,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,702.58 : 208,055.25 = 43,930.96 : x
  2. Step 2: Convert to fraction form
    138,702.58/208,055.25 = 43,930.96/x
  3. Step 3: Cross multiply
    138,702.58x = 208,055.25 × 43,930.96
  4. Step 4: Simplify right side
    138,702.58x = 9,140,066,345.40
  5. Step 5: Solve for x
    x = 9,140,066,345.40/138,702.58
  6. Step 6: Final answer
    x = 65,896.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.