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Finding the Fourth Proportional to 219,493.50, 302,913.99 and 123,997.74

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Solution

The fourth proportional to 219,493.50, 302,913.99 and 123,997.74 is: 171,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,493.50 : 302,913.99 = 123,997.74 : x
  2. Step 2: Convert to fraction form
    219,493.50/302,913.99 = 123,997.74/x
  3. Step 3: Cross multiply
    219,493.50x = 302,913.99 × 123,997.74
  4. Step 4: Simplify right side
    219,493.50x = 37,560,650,174.38
  5. Step 5: Solve for x
    x = 37,560,650,174.38/219,493.50
  6. Step 6: Final answer
    x = 171,124.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.