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Finding the Fourth Proportional to 47,136, 65,049.20 and 25,916.80

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Solution

The fourth proportional to 47,136, 65,049.20 and 25,916.80 is: 35,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,136 : 65,049.20 = 25,916.80 : x
  2. Step 2: Convert to fraction form
    47,136/65,049.20 = 25,916.80/x
  3. Step 3: Cross multiply
    47,136x = 65,049.20 × 25,916.80
  4. Step 4: Simplify right side
    47,136x = 1,685,867,106.56
  5. Step 5: Solve for x
    x = 1,685,867,106.56/47,136
  6. Step 6: Final answer
    x = 35,766.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.