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Finding the Fourth Proportional to 86,290, 129,435 and 23,960.56

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Solution

The fourth proportional to 86,290, 129,435 and 23,960.56 is: 35,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,290 : 129,435 = 23,960.56 : x
  2. Step 2: Convert to fraction form
    86,290/129,435 = 23,960.56/x
  3. Step 3: Cross multiply
    86,290x = 129,435 × 23,960.56
  4. Step 4: Simplify right side
    86,290x = 3,101,335,083.60
  5. Step 5: Solve for x
    x = 3,101,335,083.60/86,290
  6. Step 6: Final answer
    x = 35,940.84

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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.