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Finding the Fourth Proportional to 65,225.60, 97,845.60 and 20,844.80

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Solution

The fourth proportional to 65,225.60, 97,845.60 and 20,844.80 is: 31,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.60 : 97,845.60 = 20,844.80 : x
  2. Step 2: Convert to fraction form
    65,225.60/97,845.60 = 20,844.80/x
  3. Step 3: Cross multiply
    65,225.60x = 97,845.60 × 20,844.80
  4. Step 4: Simplify right side
    65,225.60x = 2,039,571,962.88
  5. Step 5: Solve for x
    x = 2,039,571,962.88/65,225.60
  6. Step 6: Final answer
    x = 31,269.50

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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.