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Finding the Fourth Proportional to 257,295.15, 385,999.43 and 86,511.03

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Solution

The fourth proportional to 257,295.15, 385,999.43 and 86,511.03 is: 129,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,295.15 : 385,999.43 = 86,511.03 : x
  2. Step 2: Convert to fraction form
    257,295.15/385,999.43 = 86,511.03/x
  3. Step 3: Cross multiply
    257,295.15x = 385,999.43 × 86,511.03
  4. Step 4: Simplify right side
    257,295.15x = 33,393,207,836.16
  5. Step 5: Solve for x
    x = 33,393,207,836.16/257,295.15
  6. Step 6: Final answer
    x = 129,785.61

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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.