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Finding the Fourth Proportional to 143,405.65, 214,914.65 and 54,610.71

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Solution

The fourth proportional to 143,405.65, 214,914.65 and 54,610.71 is: 81,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,405.65 : 214,914.65 = 54,610.71 : x
  2. Step 2: Convert to fraction form
    143,405.65/214,914.65 = 54,610.71/x
  3. Step 3: Cross multiply
    143,405.65x = 214,914.65 × 54,610.71
  4. Step 4: Simplify right side
    143,405.65x = 11,736,642,698.10
  5. Step 5: Solve for x
    x = 11,736,642,698.10/143,405.65
  6. Step 6: Final answer
    x = 81,842.26

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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.