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Finding the Fourth Proportional to 115,329.60, 172,978.20 and 36,451.80

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Solution

The fourth proportional to 115,329.60, 172,978.20 and 36,451.80 is: 54,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,329.60 : 172,978.20 = 36,451.80 : x
  2. Step 2: Convert to fraction form
    115,329.60/172,978.20 = 36,451.80/x
  3. Step 3: Cross multiply
    115,329.60x = 172,978.20 × 36,451.80
  4. Step 4: Simplify right side
    115,329.60x = 6,305,366,750.76
  5. Step 5: Solve for x
    x = 6,305,366,750.76/115,329.60
  6. Step 6: Final answer
    x = 54,672.58

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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.