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Finding the Fourth Proportional to 138,639, 208,050.66 and 51,087

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Solution

The fourth proportional to 138,639, 208,050.66 and 51,087 is: 76,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,639 : 208,050.66 = 51,087 : x
  2. Step 2: Convert to fraction form
    138,639/208,050.66 = 51,087/x
  3. Step 3: Cross multiply
    138,639x = 208,050.66 × 51,087
  4. Step 4: Simplify right side
    138,639x = 10,628,684,067.42
  5. Step 5: Solve for x
    x = 10,628,684,067.42/138,639
  6. Step 6: Final answer
    x = 76,664.46

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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.