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Finding the Fourth Proportional to 219,407.81, 302,766.05 and 123,924.29

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Solution

The fourth proportional to 219,407.81, 302,766.05 and 123,924.29 is: 171,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,407.81 : 302,766.05 = 123,924.29 : x
  2. Step 2: Convert to fraction form
    219,407.81/302,766.05 = 123,924.29/x
  3. Step 3: Cross multiply
    219,407.81x = 302,766.05 × 123,924.29
  4. Step 4: Simplify right side
    219,407.81x = 37,520,067,162.73
  5. Step 5: Solve for x
    x = 37,520,067,162.73/219,407.81
  6. Step 6: Final answer
    x = 171,006.07

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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.