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Finding the Fourth Proportional to 211,697.44, 317,526.60 and 71,457.28

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Solution

The fourth proportional to 211,697.44, 317,526.60 and 71,457.28 is: 107,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,697.44 : 317,526.60 = 71,457.28 : x
  2. Step 2: Convert to fraction form
    211,697.44/317,526.60 = 71,457.28/x
  3. Step 3: Cross multiply
    211,697.44x = 317,526.60 × 71,457.28
  4. Step 4: Simplify right side
    211,697.44x = 22,689,587,163.65
  5. Step 5: Solve for x
    x = 22,689,587,163.65/211,697.44
  6. Step 6: Final answer
    x = 107,179.32

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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.