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Finding the Fourth Proportional to 138,902.07, 208,210.09 and 54,628.07

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Solution

The fourth proportional to 138,902.07, 208,210.09 and 54,628.07 is: 81,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,902.07 : 208,210.09 = 54,628.07 : x
  2. Step 2: Convert to fraction form
    138,902.07/208,210.09 = 54,628.07/x
  3. Step 3: Cross multiply
    138,902.07x = 208,210.09 × 54,628.07
  4. Step 4: Simplify right side
    138,902.07x = 11,374,114,974.39
  5. Step 5: Solve for x
    x = 11,374,114,974.39/138,902.07
  6. Step 6: Final answer
    x = 81,885.86

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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.