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Finding the Fourth Proportional to 76,850.50, 106,141.17 and 51,656.26

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Solution

The fourth proportional to 76,850.50, 106,141.17 and 51,656.26 is: 71,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,850.50 : 106,141.17 = 51,656.26 : x
  2. Step 2: Convert to fraction form
    76,850.50/106,141.17 = 51,656.26/x
  3. Step 3: Cross multiply
    76,850.50x = 106,141.17 × 51,656.26
  4. Step 4: Simplify right side
    76,850.50x = 5,482,855,874.22
  5. Step 5: Solve for x
    x = 5,482,855,874.22/76,850.50
  6. Step 6: Final answer
    x = 71,344.44

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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.