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Finding the Fourth Proportional to 86,295, 129,255.54 and 41,828.73

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Solution

The fourth proportional to 86,295, 129,255.54 and 41,828.73 is: 62,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,295 : 129,255.54 = 41,828.73 : x
  2. Step 2: Convert to fraction form
    86,295/129,255.54 = 41,828.73/x
  3. Step 3: Cross multiply
    86,295x = 129,255.54 × 41,828.73
  4. Step 4: Simplify right side
    86,295x = 5,406,595,083.66
  5. Step 5: Solve for x
    x = 5,406,595,083.66/86,295
  6. Step 6: Final answer
    x = 62,652.47

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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.