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Finding the Fourth Proportional to 65,213.60, 97,820.40 and 15,965.60

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Solution

The fourth proportional to 65,213.60, 97,820.40 and 15,965.60 is: 23,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.60 : 97,820.40 = 15,965.60 : x
  2. Step 2: Convert to fraction form
    65,213.60/97,820.40 = 15,965.60/x
  3. Step 3: Cross multiply
    65,213.60x = 97,820.40 × 15,965.60
  4. Step 4: Simplify right side
    65,213.60x = 1,561,761,378.24
  5. Step 5: Solve for x
    x = 1,561,761,378.24/65,213.60
  6. Step 6: Final answer
    x = 23,948.40

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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.