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Finding the Fourth Proportional to 53,136.75, 79,709.78 and 13,693.80

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Solution

The fourth proportional to 53,136.75, 79,709.78 and 13,693.80 is: 20,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,136.75 : 79,709.78 = 13,693.80 : x
  2. Step 2: Convert to fraction form
    53,136.75/79,709.78 = 13,693.80/x
  3. Step 3: Cross multiply
    53,136.75x = 79,709.78 × 13,693.80
  4. Step 4: Simplify right side
    53,136.75x = 1,091,529,785.36
  5. Step 5: Solve for x
    x = 1,091,529,785.36/53,136.75
  6. Step 6: Final answer
    x = 20,541.90

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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.