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Finding the Fourth Proportional to 213,696.96, 320,446.17 and 78,726.84

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Solution

The fourth proportional to 213,696.96, 320,446.17 and 78,726.84 is: 118,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,696.96 : 320,446.17 = 78,726.84 : x
  2. Step 2: Convert to fraction form
    213,696.96/320,446.17 = 78,726.84/x
  3. Step 3: Cross multiply
    213,696.96x = 320,446.17 × 78,726.84
  4. Step 4: Simplify right side
    213,696.96x = 25,227,714,354.20
  5. Step 5: Solve for x
    x = 25,227,714,354.20/213,696.96
  6. Step 6: Final answer
    x = 118,053.69

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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.