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Finding the Fourth Proportional to 54,211.80, 81,317.70 and 45,463.80

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Solution

The fourth proportional to 54,211.80, 81,317.70 and 45,463.80 is: 68,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,211.80 : 81,317.70 = 45,463.80 : x
  2. Step 2: Convert to fraction form
    54,211.80/81,317.70 = 45,463.80/x
  3. Step 3: Cross multiply
    54,211.80x = 81,317.70 × 45,463.80
  4. Step 4: Simplify right side
    54,211.80x = 3,697,011,649.26
  5. Step 5: Solve for x
    x = 3,697,011,649.26/54,211.80
  6. Step 6: Final answer
    x = 68,195.70

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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.