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Finding the Fourth Proportional to 138,900.76, 208,208.12 and 54,626.75

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Solution

The fourth proportional to 138,900.76, 208,208.12 and 54,626.75 is: 81,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900.76 : 208,208.12 = 54,626.75 : x
  2. Step 2: Convert to fraction form
    138,900.76/208,208.12 = 54,626.75/x
  3. Step 3: Cross multiply
    138,900.76x = 208,208.12 × 54,626.75
  4. Step 4: Simplify right side
    138,900.76x = 11,373,733,864.26
  5. Step 5: Solve for x
    x = 11,373,733,864.26/138,900.76
  6. Step 6: Final answer
    x = 81,883.89

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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.