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Finding the Fourth Proportional to 225,880.34, 338,802.05 and 76,117.31

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Solution

The fourth proportional to 225,880.34, 338,802.05 and 76,117.31 is: 114,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,880.34 : 338,802.05 = 76,117.31 : x
  2. Step 2: Convert to fraction form
    225,880.34/338,802.05 = 76,117.31/x
  3. Step 3: Cross multiply
    225,880.34x = 338,802.05 × 76,117.31
  4. Step 4: Simplify right side
    225,880.34x = 25,788,700,668.49
  5. Step 5: Solve for x
    x = 25,788,700,668.49/225,880.34
  6. Step 6: Final answer
    x = 114,169.74

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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.