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Finding the Fourth Proportional to 51,345.52, 76,940.52 and 38,136.40

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Solution

The fourth proportional to 51,345.52, 76,940.52 and 38,136.40 is: 57,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,345.52 : 76,940.52 = 38,136.40 : x
  2. Step 2: Convert to fraction form
    51,345.52/76,940.52 = 38,136.40/x
  3. Step 3: Cross multiply
    51,345.52x = 76,940.52 × 38,136.40
  4. Step 4: Simplify right side
    51,345.52x = 2,934,234,446.93
  5. Step 5: Solve for x
    x = 2,934,234,446.93/51,345.52
  6. Step 6: Final answer
    x = 57,146.84

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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.