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Finding the Fourth Proportional to 211,254.89, 316,909.87 and 111,418.74

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Solution

The fourth proportional to 211,254.89, 316,909.87 and 111,418.74 is: 167,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,254.89 : 316,909.87 = 111,418.74 : x
  2. Step 2: Convert to fraction form
    211,254.89/316,909.87 = 111,418.74/x
  3. Step 3: Cross multiply
    211,254.89x = 316,909.87 × 111,418.74
  4. Step 4: Simplify right side
    211,254.89x = 35,309,698,130.42
  5. Step 5: Solve for x
    x = 35,309,698,130.42/211,254.89
  6. Step 6: Final answer
    x = 167,142.63

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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.