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Finding the Fourth Proportional to 257,231.51, 385,903.65 and 86,447.09

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Solution

The fourth proportional to 257,231.51, 385,903.65 and 86,447.09 is: 129,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,231.51 : 385,903.65 = 86,447.09 : x
  2. Step 2: Convert to fraction form
    257,231.51/385,903.65 = 86,447.09/x
  3. Step 3: Cross multiply
    257,231.51x = 385,903.65 × 86,447.09
  4. Step 4: Simplify right side
    257,231.51x = 33,360,247,562.88
  5. Step 5: Solve for x
    x = 33,360,247,562.88/257,231.51
  6. Step 6: Final answer
    x = 129,689.58

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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.