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Finding the Fourth Proportional to 85,423.84, 117,844 and 53,576.80

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Solution

The fourth proportional to 85,423.84, 117,844 and 53,576.80 is: 73,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,423.84 : 117,844 = 53,576.80 : x
  2. Step 2: Convert to fraction form
    85,423.84/117,844 = 53,576.80/x
  3. Step 3: Cross multiply
    85,423.84x = 117,844 × 53,576.80
  4. Step 4: Simplify right side
    85,423.84x = 6,313,704,419.20
  5. Step 5: Solve for x
    x = 6,313,704,419.20/85,423.84
  6. Step 6: Final answer
    x = 73,910.33

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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.