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Finding the Fourth Proportional to 10,086.80, 14,136.10 and 10,086.80

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Solution

The fourth proportional to 10,086.80, 14,136.10 and 10,086.80 is: 14,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.80 : 14,136.10 = 10,086.80 : x
  2. Step 2: Convert to fraction form
    10,086.80/14,136.10 = 10,086.80/x
  3. Step 3: Cross multiply
    10,086.80x = 14,136.10 × 10,086.80
  4. Step 4: Simplify right side
    10,086.80x = 142,588,013.48
  5. Step 5: Solve for x
    x = 142,588,013.48/10,086.80
  6. Step 6: Final answer
    x = 14,136.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.