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Finding the Fourth Proportional to 259,970.93, 389,970.23 and 82,491.83

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Solution

The fourth proportional to 259,970.93, 389,970.23 and 82,491.83 is: 123,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,970.93 : 389,970.23 = 82,491.83 : x
  2. Step 2: Convert to fraction form
    259,970.93/389,970.23 = 82,491.83/x
  3. Step 3: Cross multiply
    259,970.93x = 389,970.23 × 82,491.83
  4. Step 4: Simplify right side
    259,970.93x = 32,169,357,918.22
  5. Step 5: Solve for x
    x = 32,169,357,918.22/259,970.93
  6. Step 6: Final answer
    x = 123,742.14

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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.