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Finding the Fourth Proportional to 53,491.65, 80,207.10 and 20,212.80

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Solution

The fourth proportional to 53,491.65, 80,207.10 and 20,212.80 is: 30,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,491.65 : 80,207.10 = 20,212.80 : x
  2. Step 2: Convert to fraction form
    53,491.65/80,207.10 = 20,212.80/x
  3. Step 3: Cross multiply
    53,491.65x = 80,207.10 × 20,212.80
  4. Step 4: Simplify right side
    53,491.65x = 1,621,210,070.88
  5. Step 5: Solve for x
    x = 1,621,210,070.88/53,491.65
  6. Step 6: Final answer
    x = 30,307.72

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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.