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Finding the Fourth Proportional to 78,381.99, 108,198.17 and 54,522.51

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Solution

The fourth proportional to 78,381.99, 108,198.17 and 54,522.51 is: 75,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,381.99 : 108,198.17 = 54,522.51 : x
  2. Step 2: Convert to fraction form
    78,381.99/108,198.17 = 54,522.51/x
  3. Step 3: Cross multiply
    78,381.99x = 108,198.17 × 54,522.51
  4. Step 4: Simplify right side
    78,381.99x = 5,899,235,533.19
  5. Step 5: Solve for x
    x = 5,899,235,533.19/78,381.99
  6. Step 6: Final answer
    x = 75,262.64

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1.5x scale

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.