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Finding the Fourth Proportional to 51,812.53, 77,720.11 and 38,747.84

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Solution

The fourth proportional to 51,812.53, 77,720.11 and 38,747.84 is: 58,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.53 : 77,720.11 = 38,747.84 : x
  2. Step 2: Convert to fraction form
    51,812.53/77,720.11 = 38,747.84/x
  3. Step 3: Cross multiply
    51,812.53x = 77,720.11 × 38,747.84
  4. Step 4: Simplify right side
    51,812.53x = 3,011,485,901.59
  5. Step 5: Solve for x
    x = 3,011,485,901.59/51,812.53
  6. Step 6: Final answer
    x = 58,122.74

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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.