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Finding the Fourth Proportional to 160,668.72, 221,714.82 and 89,048.12

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Solution

The fourth proportional to 160,668.72, 221,714.82 and 89,048.12 is: 122,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,668.72 : 221,714.82 = 89,048.12 : x
  2. Step 2: Convert to fraction form
    160,668.72/221,714.82 = 89,048.12/x
  3. Step 3: Cross multiply
    160,668.72x = 221,714.82 × 89,048.12
  4. Step 4: Simplify right side
    160,668.72x = 19,743,286,788.56
  5. Step 5: Solve for x
    x = 19,743,286,788.56/160,668.72
  6. Step 6: Final answer
    x = 122,881.96

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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.