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Finding the Fourth Proportional to 138,709.06, 208,046.06 and 43,948.86

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Solution

The fourth proportional to 138,709.06, 208,046.06 and 43,948.86 is: 65,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,709.06 : 208,046.06 = 43,948.86 : x
  2. Step 2: Convert to fraction form
    138,709.06/208,046.06 = 43,948.86/x
  3. Step 3: Cross multiply
    138,709.06x = 208,046.06 × 43,948.86
  4. Step 4: Simplify right side
    138,709.06x = 9,143,387,499.64
  5. Step 5: Solve for x
    x = 9,143,387,499.64/138,709.06
  6. Step 6: Final answer
    x = 65,917.74

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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.