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Finding the Fourth Proportional to 211,213.68, 316,821.17 and 53,442.10

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Solution

The fourth proportional to 211,213.68, 316,821.17 and 53,442.10 is: 80,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,213.68 : 316,821.17 = 53,442.10 : x
  2. Step 2: Convert to fraction form
    211,213.68/316,821.17 = 53,442.10/x
  3. Step 3: Cross multiply
    211,213.68x = 316,821.17 × 53,442.10
  4. Step 4: Simplify right side
    211,213.68x = 16,931,588,649.26
  5. Step 5: Solve for x
    x = 16,931,588,649.26/211,213.68
  6. Step 6: Final answer
    x = 80,163.31

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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.