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Finding the Fourth Proportional to 149,155.77, 205,911.14 and 115,087.71

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Solution

The fourth proportional to 149,155.77, 205,911.14 and 115,087.71 is: 158,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,155.77 : 205,911.14 = 115,087.71 : x
  2. Step 2: Convert to fraction form
    149,155.77/205,911.14 = 115,087.71/x
  3. Step 3: Cross multiply
    149,155.77x = 205,911.14 × 115,087.71
  4. Step 4: Simplify right side
    149,155.77x = 23,697,840,990.65
  5. Step 5: Solve for x
    x = 23,697,840,990.65/149,155.77
  6. Step 6: Final answer
    x = 158,879.81

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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.