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Finding the Fourth Proportional to 71,720.10, 107,580.15 and 51,905.70

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Solution

The fourth proportional to 71,720.10, 107,580.15 and 51,905.70 is: 77,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720.10 : 107,580.15 = 51,905.70 : x
  2. Step 2: Convert to fraction form
    71,720.10/107,580.15 = 51,905.70/x
  3. Step 3: Cross multiply
    71,720.10x = 107,580.15 × 51,905.70
  4. Step 4: Simplify right side
    71,720.10x = 5,584,022,991.86
  5. Step 5: Solve for x
    x = 5,584,022,991.86/71,720.10
  6. Step 6: Final answer
    x = 77,858.55

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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.