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Finding the Fourth Proportional to 65,213.60, 97,849.20 and 30,135.20

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Solution

The fourth proportional to 65,213.60, 97,849.20 and 30,135.20 is: 45,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.60 : 97,849.20 = 30,135.20 : x
  2. Step 2: Convert to fraction form
    65,213.60/97,849.20 = 30,135.20/x
  3. Step 3: Cross multiply
    65,213.60x = 97,849.20 × 30,135.20
  4. Step 4: Simplify right side
    65,213.60x = 2,948,705,211.84
  5. Step 5: Solve for x
    x = 2,948,705,211.84/65,213.60
  6. Step 6: Final answer
    x = 45,216.11

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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.