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Finding the Fourth Proportional to 86,136.96, 129,218.40 and 30,720

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Solution

The fourth proportional to 86,136.96, 129,218.40 and 30,720 is: 46,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136.96 : 129,218.40 = 30,720 : x
  2. Step 2: Convert to fraction form
    86,136.96/129,218.40 = 30,720/x
  3. Step 3: Cross multiply
    86,136.96x = 129,218.40 × 30,720
  4. Step 4: Simplify right side
    86,136.96x = 3,969,589,248
  5. Step 5: Solve for x
    x = 3,969,589,248/86,136.96
  6. Step 6: Final answer
    x = 46,084.62

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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.