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Finding the Fourth Proportional to 78,825.20, 118,237.80 and 37,353.20

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Solution

The fourth proportional to 78,825.20, 118,237.80 and 37,353.20 is: 56,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825.20 : 118,237.80 = 37,353.20 : x
  2. Step 2: Convert to fraction form
    78,825.20/118,237.80 = 37,353.20/x
  3. Step 3: Cross multiply
    78,825.20x = 118,237.80 × 37,353.20
  4. Step 4: Simplify right side
    78,825.20x = 4,416,560,190.96
  5. Step 5: Solve for x
    x = 4,416,560,190.96/78,825.20
  6. Step 6: Final answer
    x = 56,029.80

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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.