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Finding the Fourth Proportional to 183,714.30, 275,571.45 and 78,543.90

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Solution

The fourth proportional to 183,714.30, 275,571.45 and 78,543.90 is: 117,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,714.30 : 275,571.45 = 78,543.90 : x
  2. Step 2: Convert to fraction form
    183,714.30/275,571.45 = 78,543.90/x
  3. Step 3: Cross multiply
    183,714.30x = 275,571.45 × 78,543.90
  4. Step 4: Simplify right side
    183,714.30x = 21,644,456,411.66
  5. Step 5: Solve for x
    x = 21,644,456,411.66/183,714.30
  6. Step 6: Final answer
    x = 117,815.85

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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.