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Finding the Fourth Proportional to 65,199.60, 97,828.20 and 30,121.20

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Solution

The fourth proportional to 65,199.60, 97,828.20 and 30,121.20 is: 45,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.60 : 97,828.20 = 30,121.20 : x
  2. Step 2: Convert to fraction form
    65,199.60/97,828.20 = 30,121.20/x
  3. Step 3: Cross multiply
    65,199.60x = 97,828.20 × 30,121.20
  4. Step 4: Simplify right side
    65,199.60x = 2,946,702,777.84
  5. Step 5: Solve for x
    x = 2,946,702,777.84/65,199.60
  6. Step 6: Final answer
    x = 45,195.11

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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.