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Finding the Fourth Proportional to 259,716.70, 389,903.10 and 139,869.10

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Solution

The fourth proportional to 259,716.70, 389,903.10 and 139,869.10 is: 209,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,716.70 : 389,903.10 = 139,869.10 : x
  2. Step 2: Convert to fraction form
    259,716.70/389,903.10 = 139,869.10/x
  3. Step 3: Cross multiply
    259,716.70x = 389,903.10 × 139,869.10
  4. Step 4: Simplify right side
    259,716.70x = 54,535,395,684.21
  5. Step 5: Solve for x
    x = 54,535,395,684.21/259,716.70
  6. Step 6: Final answer
    x = 209,980.32

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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.