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Finding the Fourth Proportional to 230,805.64, 346,204.87 and 118,421

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Solution

The fourth proportional to 230,805.64, 346,204.87 and 118,421 is: 177,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,805.64 : 346,204.87 = 118,421 : x
  2. Step 2: Convert to fraction form
    230,805.64/346,204.87 = 118,421/x
  3. Step 3: Cross multiply
    230,805.64x = 346,204.87 × 118,421
  4. Step 4: Simplify right side
    230,805.64x = 40,997,926,910.27
  5. Step 5: Solve for x
    x = 40,997,926,910.27/230,805.64
  6. Step 6: Final answer
    x = 177,629.66

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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.