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Finding the Fourth Proportional to 146,716.71, 202,469.89 and 86,289.90

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Solution

The fourth proportional to 146,716.71, 202,469.89 and 86,289.90 is: 119,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,716.71 : 202,469.89 = 86,289.90 : x
  2. Step 2: Convert to fraction form
    146,716.71/202,469.89 = 86,289.90/x
  3. Step 3: Cross multiply
    146,716.71x = 202,469.89 × 86,289.90
  4. Step 4: Simplify right side
    146,716.71x = 17,471,106,561.11
  5. Step 5: Solve for x
    x = 17,471,106,561.11/146,716.71
  6. Step 6: Final answer
    x = 119,080.55

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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.