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Finding the Fourth Proportional to 149,919.66, 206,858.61 and 89,470.98

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Solution

The fourth proportional to 149,919.66, 206,858.61 and 89,470.98 is: 123,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,919.66 : 206,858.61 = 89,470.98 : x
  2. Step 2: Convert to fraction form
    149,919.66/206,858.61 = 89,470.98/x
  3. Step 3: Cross multiply
    149,919.66x = 206,858.61 × 89,470.98
  4. Step 4: Simplify right side
    149,919.66x = 18,507,842,558.14
  5. Step 5: Solve for x
    x = 18,507,842,558.14/149,919.66
  6. Step 6: Final answer
    x = 123,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.